Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [25,4,Mod(6,25)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(25, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([4]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("25.6");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 25 = 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 25.d (of order \(5\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.47504775014\) |
Analytic rank: | \(0\) |
Dimension: | \(28\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{5})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 11.4 | ||
Character | \(\chi\) | \(=\) | 25.11 |
Dual form | 25.4.d.a.16.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/25\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{4}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.269925 | − | 0.196112i | 0.0954328 | − | 0.0693360i | −0.539046 | − | 0.842277i | \(-0.681215\pi\) |
0.634478 | + | 0.772941i | \(0.281215\pi\) | |||||||
\(3\) | −2.60870 | + | 8.02875i | −0.502045 | + | 1.54513i | 0.303638 | + | 0.952787i | \(0.401799\pi\) |
−0.805683 | + | 0.592347i | \(0.798201\pi\) | |||||||
\(4\) | −2.43774 | + | 7.50258i | −0.304717 | + | 0.937823i | ||||
\(5\) | −0.131697 | − | 11.1796i | −0.0117793 | − | 0.999931i | ||||
\(6\) | 0.870380 | + | 2.67876i | 0.0592219 | + | 0.182266i | ||||
\(7\) | 30.0089 | 1.62033 | 0.810165 | − | 0.586202i | \(-0.199377\pi\) | ||||
0.810165 | + | 0.586202i | \(0.199377\pi\) | |||||||
\(8\) | 1.63816 | + | 5.04172i | 0.0723969 | + | 0.222815i | ||||
\(9\) | −35.8121 | − | 26.0190i | −1.32637 | − | 0.963668i | ||||
\(10\) | −2.22799 | − | 2.99181i | −0.0704553 | − | 0.0946094i | ||||
\(11\) | −3.55842 | + | 2.58534i | −0.0975367 | + | 0.0708646i | −0.635485 | − | 0.772113i | \(-0.719200\pi\) |
0.537948 | + | 0.842978i | \(0.319200\pi\) | |||||||
\(12\) | −53.8771 | − | 39.1440i | −1.29608 | − | 0.941658i | ||||
\(13\) | 34.4108 | + | 25.0009i | 0.734142 | + | 0.533386i | 0.890871 | − | 0.454256i | \(-0.150095\pi\) |
−0.156729 | + | 0.987642i | \(0.550095\pi\) | |||||||
\(14\) | 8.10015 | − | 5.88510i | 0.154633 | − | 0.112347i | ||||
\(15\) | 90.1015 | + | 28.1068i | 1.55094 | + | 0.483809i | ||||
\(16\) | −49.6257 | − | 36.0552i | −0.775401 | − | 0.563362i | ||||
\(17\) | −13.2605 | − | 40.8115i | −0.189184 | − | 0.582249i | 0.810811 | − | 0.585308i | \(-0.199026\pi\) |
−0.999995 | + | 0.00305870i | \(0.999026\pi\) | |||||||
\(18\) | −14.7692 | −0.193396 | ||||||||
\(19\) | 0.802076 | + | 2.46853i | 0.00968467 | + | 0.0298064i | 0.955782 | − | 0.294076i | \(-0.0950118\pi\) |
−0.946097 | + | 0.323882i | \(0.895012\pi\) | |||||||
\(20\) | 84.1966 | + | 26.2648i | 0.941347 | + | 0.293649i | ||||
\(21\) | −78.2843 | + | 240.934i | −0.813478 | + | 2.50363i | ||||
\(22\) | −0.453489 | + | 1.39570i | −0.00439473 | + | 0.0135256i | ||||
\(23\) | 91.3902 | − | 66.3989i | 0.828530 | − | 0.601962i | −0.0906132 | − | 0.995886i | \(-0.528883\pi\) |
0.919143 | + | 0.393924i | \(0.128883\pi\) | |||||||
\(24\) | −44.7522 | −0.380625 | ||||||||
\(25\) | −124.965 | + | 2.94462i | −0.999722 | + | 0.0235570i | ||||
\(26\) | 14.1913 | 0.107044 | ||||||||
\(27\) | 117.923 | − | 85.6757i | 0.840526 | − | 0.610678i | ||||
\(28\) | −73.1539 | + | 225.144i | −0.493742 | + | 1.51958i | ||||
\(29\) | 31.2811 | − | 96.2735i | 0.200302 | − | 0.616467i | −0.799571 | − | 0.600571i | \(-0.794940\pi\) |
0.999874 | − | 0.0158958i | \(-0.00506000\pi\) | |||||||
\(30\) | 29.8327 | − | 10.0833i | 0.181556 | − | 0.0613647i | ||||
\(31\) | −28.6337 | − | 88.1256i | −0.165896 | − | 0.510575i | 0.833205 | − | 0.552964i | \(-0.186503\pi\) |
−0.999101 | + | 0.0423888i | \(0.986503\pi\) | |||||||
\(32\) | −62.8755 | −0.347341 | ||||||||
\(33\) | −11.4742 | − | 35.3141i | −0.0605275 | − | 0.186284i | ||||
\(34\) | −11.5829 | − | 8.41549i | −0.0584252 | − | 0.0424484i | ||||
\(35\) | −3.95207 | − | 335.487i | −0.0190863 | − | 1.62022i | ||||
\(36\) | 282.510 | − | 205.256i | 1.30792 | − | 0.950259i | ||||
\(37\) | 111.842 | + | 81.2576i | 0.496936 | + | 0.361045i | 0.807845 | − | 0.589394i | \(-0.200634\pi\) |
−0.310909 | + | 0.950440i | \(0.600634\pi\) | |||||||
\(38\) | 0.700608 | + | 0.509022i | 0.00299089 | + | 0.00217301i | ||||
\(39\) | −290.494 | + | 211.056i | −1.19272 | + | 0.866565i | ||||
\(40\) | 56.1485 | − | 18.9778i | 0.221947 | − | 0.0750165i | ||||
\(41\) | −160.841 | − | 116.858i | −0.612661 | − | 0.445124i | 0.237690 | − | 0.971341i | \(-0.423610\pi\) |
−0.850350 | + | 0.526217i | \(0.823610\pi\) | |||||||
\(42\) | 26.1192 | + | 80.3866i | 0.0959590 | + | 0.295331i | ||||
\(43\) | −254.402 | −0.902231 | −0.451116 | − | 0.892466i | \(-0.648974\pi\) | ||||
−0.451116 | + | 0.892466i | \(0.648974\pi\) | |||||||
\(44\) | −10.7223 | − | 32.9997i | −0.0367373 | − | 0.113066i | ||||
\(45\) | −286.165 | + | 403.791i | −0.947977 | + | 1.33763i | ||||
\(46\) | 11.6469 | − | 35.8454i | 0.0373313 | − | 0.114894i | ||||
\(47\) | −73.2388 | + | 225.406i | −0.227297 | + | 0.699549i | 0.770753 | + | 0.637134i | \(0.219880\pi\) |
−0.998050 | + | 0.0624151i | \(0.980120\pi\) | |||||||
\(48\) | 418.937 | − | 304.375i | 1.25976 | − | 0.915267i | ||||
\(49\) | 557.536 | 1.62547 | ||||||||
\(50\) | −33.1537 | + | 25.3020i | −0.0937729 | + | 0.0715648i | ||||
\(51\) | 362.258 | 0.994632 | ||||||||
\(52\) | −271.456 | + | 197.224i | −0.723927 | + | 0.525964i | ||||
\(53\) | 0.435948 | − | 1.34171i | 0.00112985 | − | 0.00347732i | −0.950490 | − | 0.310755i | \(-0.899418\pi\) |
0.951620 | + | 0.307278i | \(0.0994181\pi\) | |||||||
\(54\) | 15.0282 | − | 46.2520i | 0.0378718 | − | 0.116557i | ||||
\(55\) | 29.3716 | + | 39.4411i | 0.0720085 | + | 0.0966952i | ||||
\(56\) | 49.1593 | + | 151.297i | 0.117307 | + | 0.361034i | ||||
\(57\) | −21.9116 | −0.0509170 | ||||||||
\(58\) | −10.4368 | − | 32.1212i | −0.0236279 | − | 0.0727193i | ||||
\(59\) | 248.893 | + | 180.831i | 0.549205 | + | 0.399021i | 0.827492 | − | 0.561477i | \(-0.189767\pi\) |
−0.278287 | + | 0.960498i | \(0.589767\pi\) | |||||||
\(60\) | −430.517 | + | 607.477i | −0.926325 | + | 1.30708i | ||||
\(61\) | −401.584 | + | 291.768i | −0.842910 | + | 0.612410i | −0.923182 | − | 0.384363i | \(-0.874421\pi\) |
0.0802721 | + | 0.996773i | \(0.474421\pi\) | |||||||
\(62\) | −25.0114 | − | 18.1719i | −0.0512331 | − | 0.0372230i | ||||
\(63\) | −1074.68 | − | 780.803i | −2.14917 | − | 1.56146i | ||||
\(64\) | 380.034 | − | 276.111i | 0.742254 | − | 0.539279i | ||||
\(65\) | 274.968 | − | 387.991i | 0.524701 | − | 0.740374i | ||||
\(66\) | −10.0227 | − | 7.28190i | −0.0186925 | − | 0.0135809i | ||||
\(67\) | −37.4053 | − | 115.122i | −0.0682057 | − | 0.209916i | 0.911144 | − | 0.412087i | \(-0.135200\pi\) |
−0.979350 | + | 0.202172i | \(0.935200\pi\) | |||||||
\(68\) | 338.517 | 0.603694 | ||||||||
\(69\) | 294.691 | + | 906.965i | 0.514154 | + | 1.58240i | ||||
\(70\) | −66.8597 | − | 89.7811i | −0.114161 | − | 0.153298i | ||||
\(71\) | 275.086 | − | 846.629i | 0.459813 | − | 1.41516i | −0.405577 | − | 0.914061i | \(-0.632929\pi\) |
0.865390 | − | 0.501099i | \(-0.167071\pi\) | |||||||
\(72\) | 72.5149 | − | 223.178i | 0.118694 | − | 0.365303i | ||||
\(73\) | 90.3458 | − | 65.6400i | 0.144852 | − | 0.105241i | −0.512999 | − | 0.858389i | \(-0.671466\pi\) |
0.657851 | + | 0.753148i | \(0.271466\pi\) | |||||||
\(74\) | 46.1244 | 0.0724574 | ||||||||
\(75\) | 302.355 | − | 1011.00i | 0.465507 | − | 1.55653i | ||||
\(76\) | −20.4756 | −0.0309042 | ||||||||
\(77\) | −106.784 | + | 77.5834i | −0.158042 | + | 0.114824i | ||||
\(78\) | −37.0209 | + | 113.939i | −0.0537409 | + | 0.165397i | ||||
\(79\) | 165.407 | − | 509.070i | 0.235566 | − | 0.724998i | −0.761480 | − | 0.648189i | \(-0.775527\pi\) |
0.997046 | − | 0.0768091i | \(-0.0244732\pi\) | |||||||
\(80\) | −396.546 | + | 559.542i | −0.554189 | + | 0.781984i | ||||
\(81\) | 10.9115 | + | 33.5821i | 0.0149678 | + | 0.0460660i | ||||
\(82\) | −66.3320 | −0.0893310 | ||||||||
\(83\) | 387.980 | + | 1194.08i | 0.513088 | + | 1.57912i | 0.786734 | + | 0.617292i | \(0.211770\pi\) |
−0.273646 | + | 0.961831i | \(0.588230\pi\) | |||||||
\(84\) | −1616.79 | − | 1174.67i | −2.10008 | − | 1.52580i | ||||
\(85\) | −454.508 | + | 153.621i | −0.579980 | + | 0.196030i | ||||
\(86\) | −68.6694 | + | 49.8912i | −0.0861024 | + | 0.0625571i | ||||
\(87\) | 691.353 | + | 502.297i | 0.851963 | + | 0.618988i | ||||
\(88\) | −18.8638 | − | 13.7054i | −0.0228510 | − | 0.0166022i | ||||
\(89\) | −952.696 | + | 692.174i | −1.13467 | + | 0.824386i | −0.986368 | − | 0.164556i | \(-0.947381\pi\) |
−0.148302 | + | 0.988942i | \(0.547381\pi\) | |||||||
\(90\) | 1.94505 | + | 165.113i | 0.00227807 | + | 0.193383i | ||||
\(91\) | 1032.63 | + | 750.251i | 1.18955 | + | 0.864261i | ||||
\(92\) | 275.378 | + | 847.526i | 0.312067 | + | 0.960442i | ||||
\(93\) | 782.236 | 0.872194 | ||||||||
\(94\) | 24.4358 | + | 75.2056i | 0.0268123 | + | 0.0825198i | ||||
\(95\) | 27.4915 | − | 9.29195i | 0.0296902 | − | 0.0100351i | ||||
\(96\) | 164.023 | − | 504.812i | 0.174381 | − | 0.536689i | ||||
\(97\) | 360.388 | − | 1109.16i | 0.377236 | − | 1.16101i | −0.564722 | − | 0.825281i | \(-0.691017\pi\) |
0.941958 | − | 0.335731i | \(-0.108983\pi\) | |||||||
\(98\) | 150.493 | − | 109.339i | 0.155123 | − | 0.112704i | ||||
\(99\) | 194.703 | 0.197660 | ||||||||
\(100\) | 282.540 | − | 944.741i | 0.282540 | − | 0.944741i | ||||
\(101\) | −1945.75 | −1.91693 | −0.958463 | − | 0.285216i | \(-0.907935\pi\) | ||||
−0.958463 | + | 0.285216i | \(0.907935\pi\) | |||||||
\(102\) | 97.7823 | − | 71.0430i | 0.0949205 | − | 0.0689638i | ||||
\(103\) | −329.844 | + | 1015.16i | −0.315539 | + | 0.971129i | 0.659993 | + | 0.751272i | \(0.270559\pi\) |
−0.975532 | + | 0.219858i | \(0.929441\pi\) | |||||||
\(104\) | −69.6775 | + | 214.445i | −0.0656966 | + | 0.202193i | ||||
\(105\) | 2703.85 | + | 843.454i | 2.51304 | + | 0.783931i | ||||
\(106\) | −0.145452 | − | 0.447655i | −0.000133279 | − | 0.000410189i | ||||
\(107\) | −178.742 | −0.161492 | −0.0807461 | − | 0.996735i | \(-0.525730\pi\) | ||||
−0.0807461 | + | 0.996735i | \(0.525730\pi\) | |||||||
\(108\) | 355.325 | + | 1093.58i | 0.316585 | + | 0.974348i | ||||
\(109\) | 505.217 | + | 367.061i | 0.443954 | + | 0.322551i | 0.787204 | − | 0.616693i | \(-0.211528\pi\) |
−0.343250 | + | 0.939244i | \(0.611528\pi\) | |||||||
\(110\) | 15.6630 | + | 4.88600i | 0.0135764 | + | 0.00423511i | ||||
\(111\) | −944.159 | + | 685.971i | −0.807347 | + | 0.586572i | ||||
\(112\) | −1489.21 | − | 1081.98i | −1.25641 | − | 0.912833i | ||||
\(113\) | −1474.30 | − | 1071.14i | −1.22735 | − | 0.891719i | −0.230657 | − | 0.973035i | \(-0.574088\pi\) |
−0.996688 | + | 0.0813163i | \(0.974088\pi\) | |||||||
\(114\) | −5.91449 | + | 4.29713i | −0.00485915 | + | 0.00353038i | ||||
\(115\) | −754.347 | − | 1012.96i | −0.611680 | − | 0.821382i | ||||
\(116\) | 646.044 | + | 469.379i | 0.517101 | + | 0.375696i | ||||
\(117\) | −581.825 | − | 1790.67i | −0.459741 | − | 1.41494i | ||||
\(118\) | 102.645 | 0.0800787 | ||||||||
\(119\) | −397.932 | − | 1224.71i | −0.306541 | − | 0.943436i | ||||
\(120\) | 5.89371 | + | 500.310i | 0.00448350 | + | 0.380599i | ||||
\(121\) | −405.323 | + | 1247.46i | −0.304525 | + | 0.937233i | ||||
\(122\) | −51.1783 | + | 157.510i | −0.0379792 | + | 0.116888i | ||||
\(123\) | 1357.81 | − | 986.504i | 0.995359 | − | 0.723171i | ||||
\(124\) | 730.971 | 0.529380 | ||||||||
\(125\) | 49.3771 | + | 1396.67i | 0.0353313 | + | 0.999376i | ||||
\(126\) | −443.208 | −0.313366 | ||||||||
\(127\) | 1216.55 | − | 883.877i | 0.850012 | − | 0.617570i | −0.0751371 | − | 0.997173i | \(-0.523939\pi\) |
0.925149 | + | 0.379603i | \(0.123939\pi\) | |||||||
\(128\) | 203.869 | − | 627.443i | 0.140778 | − | 0.433271i | ||||
\(129\) | 663.659 | − | 2042.53i | 0.452960 | − | 1.39407i | ||||
\(130\) | −1.86895 | − | 158.653i | −0.00126090 | − | 0.107037i | ||||
\(131\) | 263.610 | + | 811.309i | 0.175815 | + | 0.541103i | 0.999670 | − | 0.0256982i | \(-0.00818090\pi\) |
−0.823855 | + | 0.566801i | \(0.808181\pi\) | |||||||
\(132\) | 292.918 | 0.193146 | ||||||||
\(133\) | 24.0694 | + | 74.0781i | 0.0156924 | + | 0.0482961i | ||||
\(134\) | −32.6733 | − | 23.7386i | −0.0210638 | − | 0.0153037i | ||||
\(135\) | −973.347 | − | 1307.04i | −0.620536 | − | 0.833274i | ||||
\(136\) | 184.038 | − | 133.711i | 0.116037 | − | 0.0843061i | ||||
\(137\) | 238.980 | + | 173.629i | 0.149032 | + | 0.108278i | 0.659803 | − | 0.751439i | \(-0.270640\pi\) |
−0.510771 | + | 0.859717i | \(0.670640\pi\) | |||||||
\(138\) | 257.411 | + | 187.020i | 0.158784 | + | 0.115364i | ||||
\(139\) | −1712.87 | + | 1244.47i | −1.04521 | + | 0.759388i | −0.971295 | − | 0.237877i | \(-0.923548\pi\) |
−0.0739122 | + | 0.997265i | \(0.523548\pi\) | |||||||
\(140\) | 2526.65 | + | 788.178i | 1.52529 | + | 0.475808i | ||||
\(141\) | −1618.67 | − | 1176.03i | −0.966784 | − | 0.702410i | ||||
\(142\) | −91.7812 | − | 282.474i | −0.0542402 | − | 0.166934i | ||||
\(143\) | −187.084 | −0.109404 | ||||||||
\(144\) | 839.081 | + | 2582.43i | 0.485579 | + | 1.49446i | ||||
\(145\) | −1080.42 | − | 337.031i | −0.618783 | − | 0.193027i | ||||
\(146\) | 11.5138 | − | 35.4357i | 0.00652662 | − | 0.0200869i | ||||
\(147\) | −1454.44 | + | 4476.32i | −0.816058 | + | 2.51157i | ||||
\(148\) | −882.282 | + | 641.015i | −0.490021 | + | 0.356021i | ||||
\(149\) | −1332.34 | −0.732548 | −0.366274 | − | 0.930507i | \(-0.619367\pi\) | ||||
−0.366274 | + | 0.930507i | \(0.619367\pi\) | |||||||
\(150\) | −116.655 | − | 332.189i | −0.0634991 | − | 0.180821i | ||||
\(151\) | 3222.29 | 1.73660 | 0.868300 | − | 0.496040i | \(-0.165213\pi\) | ||||
0.868300 | + | 0.496040i | \(0.165213\pi\) | |||||||
\(152\) | −11.1317 | + | 8.08769i | −0.00594016 | + | 0.00431578i | ||||
\(153\) | −586.990 | + | 1806.57i | −0.310166 | + | 0.954592i | ||||
\(154\) | −13.6087 | + | 41.8833i | −0.00712092 | + | 0.0219159i | ||||
\(155\) | −981.435 | + | 331.719i | −0.508585 | + | 0.171899i | ||||
\(156\) | −875.319 | − | 2693.95i | −0.449241 | − | 1.38262i | ||||
\(157\) | 1670.77 | 0.849312 | 0.424656 | − | 0.905355i | \(-0.360395\pi\) | ||||
0.424656 | + | 0.905355i | \(0.360395\pi\) | |||||||
\(158\) | −55.1872 | − | 169.849i | −0.0277877 | − | 0.0855218i | ||||
\(159\) | 9.63500 | + | 7.00023i | 0.00480569 | + | 0.00349154i | ||||
\(160\) | 8.28048 | + | 702.921i | 0.00409144 | + | 0.347317i | ||||
\(161\) | 2742.52 | − | 1992.56i | 1.34249 | − | 0.975377i | ||||
\(162\) | 9.53113 | + | 6.92477i | 0.00462245 | + | 0.00335840i | ||||
\(163\) | 598.105 | + | 434.548i | 0.287406 | + | 0.208813i | 0.722141 | − | 0.691746i | \(-0.243158\pi\) |
−0.434735 | + | 0.900558i | \(0.643158\pi\) | |||||||
\(164\) | 1268.82 | − | 921.852i | 0.604136 | − | 0.438930i | ||||
\(165\) | −393.285 | + | 132.928i | −0.185559 | + | 0.0627176i | ||||
\(166\) | 338.898 | + | 246.224i | 0.158455 | + | 0.115125i | ||||
\(167\) | 471.942 | + | 1452.49i | 0.218682 | + | 0.673035i | 0.998872 | + | 0.0474917i | \(0.0151228\pi\) |
−0.780189 | + | 0.625544i | \(0.784877\pi\) | |||||||
\(168\) | −1342.97 | −0.616739 | ||||||||
\(169\) | −119.852 | − | 368.865i | −0.0545524 | − | 0.167895i | ||||
\(170\) | −92.5561 | + | 130.600i | −0.0417572 | + | 0.0589211i | ||||
\(171\) | 35.5049 | − | 109.273i | 0.0158779 | − | 0.0488672i | ||||
\(172\) | 620.165 | − | 1908.67i | 0.274925 | − | 0.846133i | ||||
\(173\) | 2425.32 | − | 1762.10i | 1.06586 | − | 0.774391i | 0.0906951 | − | 0.995879i | \(-0.471091\pi\) |
0.975163 | + | 0.221487i | \(0.0710911\pi\) | |||||||
\(174\) | 285.120 | 0.124223 | ||||||||
\(175\) | −3750.08 | + | 88.3649i | −1.61988 | + | 0.0381700i | ||||
\(176\) | 269.804 | 0.115553 | ||||||||
\(177\) | −2101.14 | + | 1526.57i | −0.892267 | + | 0.648270i | ||||
\(178\) | −121.413 | + | 373.670i | −0.0511251 | + | 0.157347i | ||||
\(179\) | −686.013 | + | 2111.33i | −0.286453 | + | 0.881610i | 0.699507 | + | 0.714626i | \(0.253403\pi\) |
−0.985960 | + | 0.166984i | \(0.946597\pi\) | |||||||
\(180\) | −2331.88 | − | 3131.31i | −0.965599 | − | 1.29663i | ||||
\(181\) | 455.526 | + | 1401.97i | 0.187066 | + | 0.575731i | 0.999978 | − | 0.00665624i | \(-0.00211876\pi\) |
−0.812912 | + | 0.582387i | \(0.802119\pi\) | |||||||
\(182\) | 425.866 | 0.173447 | ||||||||
\(183\) | −1294.92 | − | 3985.35i | −0.523077 | − | 1.60987i | ||||
\(184\) | 484.476 | + | 351.993i | 0.194109 | + | 0.141028i | ||||
\(185\) | 893.696 | − | 1261.04i | 0.355167 | − | 0.501154i | ||||
\(186\) | 211.145 | − | 153.406i | 0.0832359 | − | 0.0604744i | ||||
\(187\) | 152.698 | + | 110.942i | 0.0597132 | + | 0.0433842i | ||||
\(188\) | −1512.59 | − | 1098.96i | −0.586792 | − | 0.426329i | ||||
\(189\) | 3538.73 | − | 2571.04i | 1.36193 | − | 0.989500i | ||||
\(190\) | 5.59837 | − | 7.89953i | 0.00213763 | − | 0.00301628i | ||||
\(191\) | −3033.42 | − | 2203.91i | −1.14917 | − | 0.834918i | −0.160796 | − | 0.986988i | \(-0.551406\pi\) |
−0.988370 | + | 0.152070i | \(0.951406\pi\) | |||||||
\(192\) | 1225.43 | + | 3771.49i | 0.460614 | + | 1.41762i | ||||
\(193\) | −2602.05 | −0.970464 | −0.485232 | − | 0.874385i | \(-0.661265\pi\) | ||||
−0.485232 | + | 0.874385i | \(0.661265\pi\) | |||||||
\(194\) | −120.242 | − | 370.066i | −0.0444993 | − | 0.136955i | ||||
\(195\) | 2397.77 | + | 3219.80i | 0.880554 | + | 1.18243i | ||||
\(196\) | −1359.13 | + | 4182.96i | −0.495308 | + | 1.52440i | ||||
\(197\) | 1339.92 | − | 4123.85i | 0.484596 | − | 1.49143i | −0.347969 | − | 0.937506i | \(-0.613129\pi\) |
0.832565 | − | 0.553927i | \(-0.186871\pi\) | |||||||
\(198\) | 52.5550 | − | 38.1835i | 0.0188633 | − | 0.0137050i | ||||
\(199\) | 4248.11 | 1.51327 | 0.756635 | − | 0.653837i | \(-0.226842\pi\) | ||||
0.756635 | + | 0.653837i | \(0.226842\pi\) | |||||||
\(200\) | −219.559 | − | 625.217i | −0.0776257 | − | 0.221048i | ||||
\(201\) | 1021.86 | 0.358590 | ||||||||
\(202\) | −525.206 | + | 381.585i | −0.182938 | + | 0.132912i | ||||
\(203\) | 938.714 | − | 2889.06i | 0.324556 | − | 0.998880i | ||||
\(204\) | −883.089 | + | 2717.87i | −0.303081 | + | 0.932789i | ||||
\(205\) | −1285.23 | + | 1813.52i | −0.437876 | + | 0.617861i | ||||
\(206\) | 110.051 | + | 338.702i | 0.0372214 | + | 0.114556i | ||||
\(207\) | −5000.51 | −1.67903 | ||||||||
\(208\) | −806.248 | − | 2481.38i | −0.268766 | − | 0.827176i | ||||
\(209\) | −9.23613 | − | 6.71044i | −0.00305682 | − | 0.00222091i | ||||
\(210\) | 895.247 | − | 302.588i | 0.294181 | − | 0.0994311i | ||||
\(211\) | 798.900 | − | 580.435i | 0.260657 | − | 0.189378i | −0.449780 | − | 0.893139i | \(-0.648498\pi\) |
0.710436 | + | 0.703761i | \(0.248498\pi\) | |||||||
\(212\) | 9.00356 | + | 6.54147i | 0.00291682 | + | 0.00211920i | ||||
\(213\) | 6079.76 | + | 4417.20i | 1.95577 | + | 1.42095i | ||||
\(214\) | −48.2469 | + | 35.0534i | −0.0154116 | + | 0.0111972i | ||||
\(215\) | 33.5039 | + | 2844.10i | 0.0106276 | + | 0.902169i | ||||
\(216\) | 625.129 | + | 454.183i | 0.196920 | + | 0.143070i | ||||
\(217\) | −859.268 | − | 2644.55i | −0.268806 | − | 0.827300i | ||||
\(218\) | 208.356 | 0.0647322 | ||||||||
\(219\) | 291.323 | + | 896.599i | 0.0898893 | + | 0.276651i | ||||
\(220\) | −367.510 | + | 124.216i | −0.112625 | + | 0.0380666i | ||||
\(221\) | 564.022 | − | 1735.88i | 0.171675 | − | 0.528362i | ||||
\(222\) | −120.325 | + | 370.321i | −0.0363768 | + | 0.111956i | ||||
\(223\) | −4367.71 | + | 3173.33i | −1.31158 | + | 0.952922i | −0.311588 | + | 0.950217i | \(0.600861\pi\) |
−0.999996 | + | 0.00270496i | \(0.999139\pi\) | |||||||
\(224\) | −1886.83 | −0.562808 | ||||||||
\(225\) | 4551.89 | + | 3146.02i | 1.34871 | + | 0.932155i | ||||
\(226\) | −608.011 | −0.178957 | ||||||||
\(227\) | −2530.38 | + | 1838.43i | −0.739856 | + | 0.537537i | −0.892666 | − | 0.450719i | \(-0.851168\pi\) |
0.152810 | + | 0.988256i | \(0.451168\pi\) | |||||||
\(228\) | 53.4148 | − | 164.394i | 0.0155153 | − | 0.0477511i | ||||
\(229\) | 890.313 | − | 2740.10i | 0.256915 | − | 0.790703i | −0.736531 | − | 0.676403i | \(-0.763538\pi\) |
0.993446 | − | 0.114299i | \(-0.0364623\pi\) | |||||||
\(230\) | −402.270 | − | 125.486i | −0.115326 | − | 0.0359753i | ||||
\(231\) | −344.329 | − | 1059.74i | −0.0980745 | − | 0.301842i | ||||
\(232\) | 536.628 | 0.151859 | ||||||||
\(233\) | 1021.35 | + | 3143.40i | 0.287172 | + | 0.883824i | 0.985739 | + | 0.168280i | \(0.0538212\pi\) |
−0.698567 | + | 0.715544i | \(0.746179\pi\) | |||||||
\(234\) | −508.221 | − | 369.244i | −0.141981 | − | 0.103155i | ||||
\(235\) | 2529.58 | + | 789.093i | 0.702178 | + | 0.219041i | ||||
\(236\) | −1963.44 | + | 1426.52i | −0.541563 | + | 0.393469i | ||||
\(237\) | 3655.70 | + | 2656.02i | 1.00195 | + | 0.727963i | ||||
\(238\) | −347.591 | − | 252.540i | −0.0946681 | − | 0.0687804i | ||||
\(239\) | −3601.97 | + | 2616.98i | −0.974862 | + | 0.708279i | −0.956555 | − | 0.291553i | \(-0.905828\pi\) |
−0.0183078 | + | 0.999832i | \(0.505828\pi\) | |||||||
\(240\) | −3457.96 | − | 4643.45i | −0.930042 | − | 1.24889i | ||||
\(241\) | −1086.58 | − | 789.444i | −0.290426 | − | 0.211007i | 0.433026 | − | 0.901381i | \(-0.357446\pi\) |
−0.723452 | + | 0.690375i | \(0.757446\pi\) | |||||||
\(242\) | 135.234 | + | 416.208i | 0.0359222 | + | 0.110557i | ||||
\(243\) | 3637.44 | 0.960255 | ||||||||
\(244\) | −1210.05 | − | 3724.17i | −0.317483 | − | 0.977112i | ||||
\(245\) | −73.4256 | − | 6233.01i | −0.0191469 | − | 1.62536i | ||||
\(246\) | 173.040 | − | 532.563i | 0.0448482 | − | 0.138028i | ||||
\(247\) | −34.1156 | + | 104.997i | −0.00878835 | + | 0.0270478i | ||||
\(248\) | 397.398 | − | 288.727i | 0.101753 | − | 0.0739281i | ||||
\(249\) | −10599.1 | −2.69755 | ||||||||
\(250\) | 287.231 | + | 367.312i | 0.0726644 | + | 0.0929234i | ||||
\(251\) | 3819.99 | 0.960620 | 0.480310 | − | 0.877099i | \(-0.340524\pi\) | ||||
0.480310 | + | 0.877099i | \(0.340524\pi\) | |||||||
\(252\) | 8477.84 | − | 6159.51i | 2.11926 | − | 1.53973i | ||||
\(253\) | −153.541 | + | 472.550i | −0.0381543 | + | 0.117427i | ||||
\(254\) | 155.039 | − | 477.160i | 0.0382992 | − | 0.117873i | ||||
\(255\) | −47.7081 | − | 4049.89i | −0.0117161 | − | 0.994563i | ||||
\(256\) | 1093.26 | + | 3364.71i | 0.266909 | + | 0.821462i | ||||
\(257\) | 2155.09 | 0.523076 | 0.261538 | − | 0.965193i | \(-0.415770\pi\) | ||||
0.261538 | + | 0.965193i | \(0.415770\pi\) | |||||||
\(258\) | −221.427 | − | 681.481i | −0.0534318 | − | 0.164446i | ||||
\(259\) | 3356.24 | + | 2438.45i | 0.805200 | + | 0.585012i | ||||
\(260\) | 2240.63 | + | 3008.79i | 0.534454 | + | 0.717681i | ||||
\(261\) | −3625.19 | + | 2633.85i | −0.859745 | + | 0.624641i | ||||
\(262\) | 230.262 | + | 167.295i | 0.0542964 | + | 0.0394486i | ||||
\(263\) | 2395.54 | + | 1740.46i | 0.561656 | + | 0.408067i | 0.832065 | − | 0.554679i | \(-0.187159\pi\) |
−0.270409 | + | 0.962746i | \(0.587159\pi\) | |||||||
\(264\) | 159.247 | − | 115.700i | 0.0371249 | − | 0.0269728i | ||||
\(265\) | −15.0571 | − | 4.69701i | −0.00349039 | − | 0.00108881i | ||||
\(266\) | 21.0245 | + | 15.2752i | 0.00484622 | + | 0.00352099i | ||||
\(267\) | −3072.00 | − | 9454.64i | −0.704132 | − | 2.16710i | ||||
\(268\) | 954.894 | 0.217647 | ||||||||
\(269\) | −2409.51 | − | 7415.70i | −0.546135 | − | 1.68083i | −0.718276 | − | 0.695758i | \(-0.755068\pi\) |
0.172141 | − | 0.985072i | \(-0.444932\pi\) | |||||||
\(270\) | −519.056 | − | 161.917i | −0.116995 | − | 0.0364962i | ||||
\(271\) | 1781.44 | − | 5482.71i | 0.399316 | − | 1.22897i | −0.526232 | − | 0.850341i | \(-0.676396\pi\) |
0.925549 | − | 0.378628i | \(-0.123604\pi\) | |||||||
\(272\) | −813.406 | + | 2503.41i | −0.181323 | + | 0.558056i | ||||
\(273\) | −8717.41 | + | 6333.57i | −1.93261 | + | 1.40412i | ||||
\(274\) | 98.5572 | 0.0217301 | ||||||||
\(275\) | 437.066 | − | 333.556i | 0.0958403 | − | 0.0731426i | ||||
\(276\) | −7522.95 | −1.64068 | ||||||||
\(277\) | −2645.65 | + | 1922.18i | −0.573870 | + | 0.416941i | −0.836509 | − | 0.547953i | \(-0.815407\pi\) |
0.262639 | + | 0.964894i | \(0.415407\pi\) | |||||||
\(278\) | −218.290 | + | 671.828i | −0.0470942 | + | 0.144941i | ||||
\(279\) | −1267.51 | + | 3900.99i | −0.271985 | + | 0.837082i | ||||
\(280\) | 1684.96 | − | 569.505i | 0.359627 | − | 0.121551i | ||||
\(281\) | 437.055 | + | 1345.12i | 0.0927848 | + | 0.285562i | 0.986670 | − | 0.162734i | \(-0.0520311\pi\) |
−0.893885 | + | 0.448296i | \(0.852031\pi\) | |||||||
\(282\) | −667.553 | −0.140965 | ||||||||
\(283\) | 1084.43 | + | 3337.53i | 0.227783 | + | 0.701045i | 0.997997 | + | 0.0632593i | \(0.0201495\pi\) |
−0.770214 | + | 0.637786i | \(0.779850\pi\) | |||||||
\(284\) | 5681.31 | + | 4127.72i | 1.18706 | + | 0.862447i | ||||
\(285\) | 2.88569 | + | 244.963i | 0.000599766 | + | 0.0509134i | ||||
\(286\) | −50.4986 | + | 36.6894i | −0.0104407 | + | 0.00758563i | ||||
\(287\) | −4826.66 | − | 3506.77i | −0.992713 | − | 0.721248i | ||||
\(288\) | 2251.71 | + | 1635.96i | 0.460705 | + | 0.334722i | ||||
\(289\) | 2484.96 | − | 1805.43i | 0.505793 | − | 0.367480i | ||||
\(290\) | −357.726 | + | 120.909i | −0.0724359 | + | 0.0244829i | ||||
\(291\) | 7965.03 | + | 5786.94i | 1.60453 | + | 1.16576i | ||||
\(292\) | 272.231 | + | 837.839i | 0.0545585 | + | 0.167914i | ||||
\(293\) | −5.06248 | −0.00100940 | −0.000504698 | − | 1.00000i | \(-0.500161\pi\) | ||||
−0.000504698 | 1.00000i | \(0.500161\pi\) | ||||||||
\(294\) | 485.269 | + | 1493.50i | 0.0962634 | + | 0.296268i | ||||
\(295\) | 1988.84 | − | 2806.33i | 0.392524 | − | 0.553867i | ||||
\(296\) | −226.465 | + | 696.987i | −0.0444696 | + | 0.136863i | ||||
\(297\) | −198.117 | + | 609.740i | −0.0387067 | + | 0.119127i | ||||
\(298\) | −359.631 | + | 261.288i | −0.0699090 | + | 0.0507919i | ||||
\(299\) | 4804.85 | 0.929337 | ||||||||
\(300\) | 6848.03 | + | 4732.99i | 1.31790 | + | 0.910865i | ||||
\(301\) | −7634.33 | −1.46191 | ||||||||
\(302\) | 869.776 | − | 631.929i | 0.165728 | − | 0.120409i | ||||
\(303\) | 5075.89 | − | 15622.0i | 0.962383 | − | 2.96191i | ||||
\(304\) | 49.1999 | − | 151.422i | 0.00928226 | − | 0.0285679i | ||||
\(305\) | 3314.72 | + | 4451.10i | 0.622296 | + | 0.835638i | ||||
\(306\) | 195.846 | + | 602.753i | 0.0365876 | + | 0.112605i | ||||
\(307\) | 5233.44 | 0.972926 | 0.486463 | − | 0.873701i | \(-0.338287\pi\) | ||||
0.486463 | + | 0.873701i | \(0.338287\pi\) | |||||||
\(308\) | −321.763 | − | 990.286i | −0.0595265 | − | 0.183204i | ||||
\(309\) | −7289.98 | − | 5296.48i | −1.34211 | − | 0.975101i | ||||
\(310\) | −199.859 | + | 282.010i | −0.0366170 | + | 0.0516680i | ||||
\(311\) | −8694.60 | + | 6316.99i | −1.58529 | + | 1.15178i | −0.674994 | + | 0.737823i | \(0.735854\pi\) |
−0.910296 | + | 0.413958i | \(0.864146\pi\) | |||||||
\(312\) | −1539.96 | − | 1118.85i | −0.279433 | − | 0.203020i | ||||
\(313\) | 964.420 | + | 700.692i | 0.174160 | + | 0.126535i | 0.671451 | − | 0.741049i | \(-0.265672\pi\) |
−0.497290 | + | 0.867584i | \(0.665672\pi\) | |||||||
\(314\) | 450.982 | − | 327.657i | 0.0810521 | − | 0.0588878i | ||||
\(315\) | −8587.51 | + | 12117.3i | −1.53604 | + | 2.16741i | ||||
\(316\) | 3416.12 | + | 2481.96i | 0.608138 | + | 0.441838i | ||||
\(317\) | 3167.99 | + | 9750.06i | 0.561299 | + | 1.72750i | 0.678699 | + | 0.734416i | \(0.262544\pi\) |
−0.117400 | + | 0.993085i | \(0.537456\pi\) | |||||||
\(318\) | 3.97355 | 0.000700710 | ||||||||
\(319\) | 137.588 | + | 423.454i | 0.0241488 | + | 0.0743224i | ||||
\(320\) | −3136.85 | − | 4212.25i | −0.547985 | − | 0.735850i | ||||
\(321\) | 466.285 | − | 1435.08i | 0.0810763 | − | 0.249527i | ||||
\(322\) | 349.510 | − | 1075.68i | 0.0604890 | − | 0.186166i | ||||
\(323\) | 90.1087 | − | 65.4678i | 0.0155225 | − | 0.0112778i | ||||
\(324\) | −278.552 | −0.0477627 | ||||||||
\(325\) | −4373.78 | − | 3022.92i | −0.746503 | − | 0.515943i | ||||
\(326\) | 246.663 | 0.0419062 | ||||||||
\(327\) | −4265.01 | + | 3098.71i | −0.721270 | + | 0.524033i | ||||
\(328\) | 325.682 | − | 1002.34i | 0.0548255 | − | 0.168735i | ||||
\(329\) | −2197.82 | + | 6764.19i | −0.368297 | + | 1.13350i | ||||
\(330\) | −80.0885 | + | 113.008i | −0.0133598 | + | 0.0188512i | ||||
\(331\) | −2338.04 | − | 7195.76i | −0.388249 | − | 1.19491i | −0.934095 | − | 0.357023i | \(-0.883792\pi\) |
0.545846 | − | 0.837885i | \(-0.316208\pi\) | |||||||
\(332\) | −9904.47 | −1.63728 | ||||||||
\(333\) | −1891.04 | − | 5820.02i | −0.311196 | − | 0.957763i | ||||
\(334\) | 412.239 | + | 299.509i | 0.0675350 | + | 0.0490671i | ||||
\(335\) | −1282.08 | + | 433.336i | −0.209098 | + | 0.0706737i | ||||
\(336\) | 12571.8 | − | 9133.98i | 2.04122 | − | 1.48303i | ||||
\(337\) | −1133.05 | − | 823.208i | −0.183149 | − | 0.133065i | 0.492433 | − | 0.870350i | \(-0.336108\pi\) |
−0.675582 | + | 0.737285i | \(0.736108\pi\) | |||||||
\(338\) | −104.690 | − | 76.0615i | −0.0168472 | − | 0.0122402i | ||||
\(339\) | 12445.9 | − | 9042.48i | 1.99401 | − | 1.44873i | ||||
\(340\) | −44.5815 | − | 3784.47i | −0.00711109 | − | 0.603652i | ||||
\(341\) | 329.726 | + | 239.560i | 0.0523626 | + | 0.0380437i | ||||
\(342\) | −11.8460 | − | 36.4583i | −0.00187298 | − | 0.00576444i | ||||
\(343\) | 6438.00 | 1.01347 | ||||||||
\(344\) | −416.750 | − | 1282.62i | −0.0653188 | − | 0.201030i | ||||
\(345\) | 10100.7 | − | 3413.96i | 1.57624 | − | 0.532757i | ||||
\(346\) | 309.085 | − | 951.266i | 0.0480246 | − | 0.147805i | ||||
\(347\) | 593.182 | − | 1825.63i | 0.0917686 | − | 0.282435i | −0.894629 | − | 0.446809i | \(-0.852560\pi\) |
0.986398 | + | 0.164374i | \(0.0525604\pi\) | |||||||
\(348\) | −5453.86 | + | 3962.46i | −0.840108 | + | 0.610375i | ||||
\(349\) | −1831.69 | −0.280940 | −0.140470 | − | 0.990085i | \(-0.544861\pi\) | ||||
−0.140470 | + | 0.990085i | \(0.544861\pi\) | |||||||
\(350\) | −994.908 | + | 759.286i | −0.151943 | + | 0.115959i | ||||
\(351\) | 6199.79 | 0.942792 | ||||||||
\(352\) | 223.737 | − | 162.555i | 0.0338785 | − | 0.0246142i | ||||
\(353\) | −2642.85 | + | 8133.87i | −0.398484 | + | 1.22641i | 0.527731 | + | 0.849412i | \(0.323043\pi\) |
−0.926215 | + | 0.376996i | \(0.876957\pi\) | |||||||
\(354\) | −267.771 | + | 824.115i | −0.0402031 | + | 0.123732i | ||||
\(355\) | −9501.17 | − | 2963.85i | −1.42048 | − | 0.443112i | ||||
\(356\) | −2870.67 | − | 8835.02i | −0.427374 | − | 1.31532i | ||||
\(357\) | 10871.0 | 1.61163 | ||||||||
\(358\) | 228.885 | + | 704.435i | 0.0337903 | + | 0.103996i | ||||
\(359\) | 2843.61 | + | 2066.01i | 0.418051 | + | 0.303732i | 0.776853 | − | 0.629682i | \(-0.216815\pi\) |
−0.358802 | + | 0.933414i | \(0.616815\pi\) | |||||||
\(360\) | −2504.58 | − | 781.294i | −0.366675 | − | 0.114383i | ||||
\(361\) | 5543.60 | − | 4027.66i | 0.808222 | − | 0.587208i | ||||
\(362\) | 397.900 | + | 289.091i | 0.0577711 | + | 0.0419732i | ||||
\(363\) | −8958.16 | − | 6508.48i | −1.29527 | − | 0.941065i | ||||
\(364\) | −8146.11 | + | 5918.49i | −1.17300 | + | 0.852235i | ||||
\(365\) | −745.725 | − | 1001.38i | −0.106940 | − | 0.143602i | ||||
\(366\) | −1131.10 | − | 821.795i | −0.161540 | − | 0.117366i | ||||
\(367\) | 1463.96 | + | 4505.62i | 0.208224 | + | 0.640848i | 0.999566 | + | 0.0294738i | \(0.00938315\pi\) |
−0.791341 | + | 0.611375i | \(0.790617\pi\) | |||||||
\(368\) | −6929.33 | −0.981566 | ||||||||
\(369\) | 2719.52 | + | 8369.83i | 0.383666 | + | 1.18080i | ||||
\(370\) | −6.07442 | − | 515.650i | −0.000853497 | − | 0.0724524i | ||||
\(371\) | 13.0823 | − | 40.2633i | 0.00183073 | − | 0.00563441i | ||||
\(372\) | −1906.88 | + | 5868.79i | −0.265772 | + | 0.817963i | ||||
\(373\) | 944.433 | − | 686.171i | 0.131102 | − | 0.0952509i | −0.520302 | − | 0.853982i | \(-0.674181\pi\) |
0.651403 | + | 0.758732i | \(0.274181\pi\) | |||||||
\(374\) | 62.9738 | 0.00870669 | ||||||||
\(375\) | −11342.3 | − | 3247.06i | −1.56191 | − | 0.447140i | ||||
\(376\) | −1256.41 | −0.172326 | ||||||||
\(377\) | 3483.34 | − | 2530.79i | 0.475865 | − | 0.345736i | ||||
\(378\) | 450.980 | − | 1387.97i | 0.0613648 | − | 0.188861i | ||||
\(379\) | −1174.39 | + | 3614.41i | −0.159167 | + | 0.489867i | −0.998559 | − | 0.0536597i | \(-0.982911\pi\) |
0.839392 | + | 0.543527i | \(0.182911\pi\) | |||||||
\(380\) | 2.69657 | + | 228.909i | 0.000364029 | + | 0.0309020i | ||||
\(381\) | 3922.81 | + | 12073.2i | 0.527485 | + | 1.62343i | ||||
\(382\) | −1251.01 | −0.167558 | ||||||||
\(383\) | −1136.52 | − | 3497.85i | −0.151628 | − | 0.466663i | 0.846176 | − | 0.532904i | \(-0.178899\pi\) |
−0.997804 | + | 0.0662411i | \(0.978899\pi\) | |||||||
\(384\) | 4505.76 | + | 3273.62i | 0.598785 | + | 0.435043i | ||||
\(385\) | 881.411 | + | 1183.59i | 0.116678 | + | 0.156678i | ||||
\(386\) | −702.357 | + | 510.292i | −0.0926141 | + | 0.0672881i | ||||
\(387\) | 9110.68 | + | 6619.29i | 1.19670 | + | 0.869451i | ||||
\(388\) | 7443.04 | + | 5407.68i | 0.973873 | + | 0.707560i | ||||
\(389\) | 1525.71 | − | 1108.50i | 0.198861 | − | 0.144481i | −0.483899 | − | 0.875124i | \(-0.660780\pi\) |
0.682759 | + | 0.730643i | \(0.260780\pi\) | |||||||
\(390\) | 1278.66 | + | 398.872i | 0.166019 | + | 0.0517889i | ||||
\(391\) | −3921.71 | − | 2849.29i | −0.507237 | − | 0.368529i | ||||
\(392\) | 913.331 | + | 2810.94i | 0.117679 | + | 0.362179i | ||||
\(393\) | −7201.49 | −0.924343 | ||||||||
\(394\) | −447.058 | − | 1375.90i | −0.0571636 | − | 0.175931i | ||||
\(395\) | −5712.96 | − | 1782.13i | −0.727722 | − | 0.227010i | ||||
\(396\) | −474.634 | + | 1460.77i | −0.0602304 | + | 0.185370i | ||||
\(397\) | −1787.58 | + | 5501.61i | −0.225985 | + | 0.695511i | 0.772205 | + | 0.635374i | \(0.219154\pi\) |
−0.998190 | + | 0.0601375i | \(0.980846\pi\) | |||||||
\(398\) | 1146.67 | − | 833.105i | 0.144416 | − | 0.104924i | ||||
\(399\) | −657.545 | −0.0825023 | ||||||||
\(400\) | 6307.66 | + | 4359.52i | 0.788457 | + | 0.544940i | ||||
\(401\) | 8673.48 | 1.08013 | 0.540066 | − | 0.841622i | \(-0.318399\pi\) | ||||
0.540066 | + | 0.841622i | \(0.318399\pi\) | |||||||
\(402\) | 275.826 | − | 200.399i | 0.0342213 | − | 0.0248632i | ||||
\(403\) | 1217.91 | − | 3748.35i | 0.150542 | − | 0.463321i | ||||
\(404\) | 4743.23 | − | 14598.2i | 0.584120 | − | 1.79774i | ||||
\(405\) | 373.997 | − | 126.408i | 0.0458865 | − | 0.0155093i | ||||
\(406\) | −313.197 | − | 963.922i | −0.0382850 | − | 0.117829i | ||||
\(407\) | −608.058 | −0.0740548 | ||||||||
\(408\) | 593.435 | + | 1826.40i | 0.0720083 | + | 0.221619i | ||||
\(409\) | 1254.94 | + | 911.764i | 0.151718 | + | 0.110229i | 0.661054 | − | 0.750338i | \(-0.270109\pi\) |
−0.509337 | + | 0.860567i | \(0.670109\pi\) | |||||||
\(410\) | 8.73569 | + | 741.563i | 0.00105226 | + | 0.0893248i | ||||
\(411\) | −2017.45 | + | 1465.76i | −0.242125 | + | 0.175914i | ||||
\(412\) | −6812.22 | − | 4949.37i | −0.814597 | − | 0.591839i | ||||
\(413\) | 7469.01 | + | 5426.56i | 0.889894 | + | 0.646546i | ||||
\(414\) | −1349.76 | + | 980.659i | −0.160235 | + | 0.116417i | ||||
\(415\) | 13298.2 | − | 4494.70i | 1.57297 | − | 0.531654i | ||||
\(416\) | −2163.60 | − | 1571.95i | −0.254998 | − | 0.185267i | ||||
\(417\) | −5523.21 | − | 16998.7i | −0.648615 | − | 1.99623i | ||||
\(418\) | −3.80905 | −0.000445710 | ||||||||
\(419\) | 879.484 | + | 2706.77i | 0.102543 | + | 0.315596i | 0.989146 | − | 0.146936i | \(-0.0469412\pi\) |
−0.886603 | + | 0.462532i | \(0.846941\pi\) | |||||||
\(420\) | −12919.4 | + | 18229.7i | −1.50095 | + | 2.11791i | ||||
\(421\) | −1772.98 | + | 5456.69i | −0.205249 | + | 0.631693i | 0.794454 | + | 0.607325i | \(0.207757\pi\) |
−0.999703 | + | 0.0243678i | \(0.992243\pi\) | |||||||
\(422\) | 101.813 | − | 313.347i | 0.0117445 | − | 0.0361458i | ||||
\(423\) | 8487.68 | − | 6166.66i | 0.975615 | − | 0.708826i | ||||
\(424\) | 7.47868 | 0.000856596 | ||||||||
\(425\) | 1777.27 | + | 5060.97i | 0.202848 | + | 0.577631i | ||||
\(426\) | 2507.34 | 0.285167 | ||||||||
\(427\) | −12051.1 | + | 8755.63i | −1.36579 | + | 0.992306i | ||||
\(428\) | 435.726 | − | 1341.03i | 0.0492094 | − | 0.151451i | ||||
\(429\) | 488.046 | − | 1502.05i | 0.0549257 | − | 0.169044i | ||||
\(430\) | 566.806 | + | 761.123i | 0.0635670 | + | 0.0853596i | ||||
\(431\) | 1080.69 | + | 3326.03i | 0.120778 | + | 0.371715i | 0.993108 | − | 0.117201i | \(-0.0373923\pi\) |
−0.872331 | + | 0.488916i | \(0.837392\pi\) | |||||||
\(432\) | −8941.04 | −0.995778 | ||||||||
\(433\) | −4003.90 | − | 12322.7i | −0.444377 | − | 1.36765i | −0.883166 | − | 0.469061i | \(-0.844592\pi\) |
0.438789 | − | 0.898590i | \(-0.355408\pi\) | |||||||
\(434\) | −750.566 | − | 545.318i | −0.0830145 | − | 0.0603136i | ||||
\(435\) | 5524.42 | − | 7795.18i | 0.608909 | − | 0.859196i | ||||
\(436\) | −3985.49 | + | 2895.63i | −0.437776 | + | 0.318063i | ||||
\(437\) | 237.210 | + | 172.343i | 0.0259663 | + | 0.0188656i | ||||
\(438\) | 254.469 | + | 184.882i | 0.0277602 | + | 0.0201690i | ||||
\(439\) | −4780.87 | + | 3473.51i | −0.519769 | + | 0.377634i | −0.816517 | − | 0.577322i | \(-0.804098\pi\) |
0.296748 | + | 0.954956i | \(0.404098\pi\) | |||||||
\(440\) | −150.736 | + | 212.694i | −0.0163319 | + | 0.0230450i | ||||
\(441\) | −19966.6 | − | 14506.6i | −2.15598 | − | 1.56641i | ||||
\(442\) | −188.183 | − | 579.168i | −0.0202510 | − | 0.0623263i | ||||
\(443\) | −5526.18 | −0.592679 | −0.296339 | − | 0.955083i | \(-0.595766\pi\) | ||||
−0.296339 | + | 0.955083i | \(0.595766\pi\) | |||||||
\(444\) | −2844.95 | − | 8755.84i | −0.304088 | − | 0.935887i | ||||
\(445\) | 7863.67 | + | 10559.6i | 0.837694 | + | 1.12488i | ||||
\(446\) | −556.626 | + | 1713.12i | −0.0590964 | + | 0.181880i | ||||
\(447\) | 3475.68 | − | 10697.0i | 0.367772 | − | 1.13188i | ||||
\(448\) | 11404.4 | − | 8285.79i | 1.20270 | − | 0.873810i | ||||
\(449\) | 7613.56 | 0.800236 | 0.400118 | − | 0.916464i | \(-0.368969\pi\) | ||||
0.400118 | + | 0.916464i | \(0.368969\pi\) | |||||||
\(450\) | 1845.64 | − | 43.4897i | 0.193343 | − | 0.00455583i | ||||
\(451\) | 874.455 | 0.0913004 | ||||||||
\(452\) | 11630.2 | − | 8449.87i | 1.21027 | − | 0.879311i | ||||
\(453\) | −8406.00 | + | 25871.0i | −0.871850 | + | 2.68328i | ||||
\(454\) | −322.475 | + | 992.475i | −0.0333359 | + | 0.102597i | ||||
\(455\) | 8251.49 | − | 11643.2i | 0.850189 | − | 1.19965i | ||||
\(456\) | −35.8947 | − | 110.472i | −0.00368623 | − | 0.0113451i | ||||
\(457\) | 2162.92 | 0.221394 | 0.110697 | − | 0.993854i | \(-0.464692\pi\) | ||||
0.110697 | + | 0.993854i | \(0.464692\pi\) | |||||||
\(458\) | −297.049 | − | 914.221i | −0.0303060 | − | 0.0932724i | ||||
\(459\) | −5060.26 | − | 3676.49i | −0.514581 | − | 0.373865i | ||||
\(460\) | 9438.70 | − | 3190.22i | 0.956700 | − | 0.323358i | ||||
\(461\) | −2070.84 | + | 1504.56i | −0.209216 | + | 0.152005i | −0.687459 | − | 0.726223i | \(-0.741274\pi\) |
0.478243 | + | 0.878228i | \(0.341274\pi\) | |||||||
\(462\) | −300.770 | − | 218.522i | −0.0302881 | − | 0.0220056i | ||||
\(463\) | −10286.6 | − | 7473.64i | −1.03252 | − | 0.750172i | −0.0637111 | − | 0.997968i | \(-0.520294\pi\) |
−0.968812 | + | 0.247796i | \(0.920294\pi\) | |||||||
\(464\) | −5023.51 | + | 3649.79i | −0.502609 | + | 0.365167i | ||||
\(465\) | −103.018 | − | 8745.05i | −0.0102738 | − | 0.872134i | ||||
\(466\) | 892.146 | + | 648.182i | 0.0886864 | + | 0.0644344i | ||||
\(467\) | −378.522 | − | 1164.97i | −0.0375073 | − | 0.115436i | 0.930550 | − | 0.366165i | \(-0.119329\pi\) |
−0.968057 | + | 0.250730i | \(0.919329\pi\) | |||||||
\(468\) | 14853.0 | 1.46705 | ||||||||
\(469\) | −1122.49 | − | 3454.68i | −0.110516 | − | 0.340133i | ||||
\(470\) | 837.547 | − | 283.086i | 0.0821982 | − | 0.0277825i | ||||
\(471\) | −4358.54 | + | 13414.2i | −0.426392 | + | 1.31230i | ||||
\(472\) | −503.976 | + | 1551.08i | −0.0491470 | + | 0.151259i | ||||
\(473\) | 905.269 | − | 657.716i | 0.0880006 | − | 0.0639362i | ||||
\(474\) | 1507.64 | 0.146093 | ||||||||
\(475\) | −107.501 | − | 306.119i | −0.0103841 | − | 0.0295699i | ||||
\(476\) | 10158.5 | 0.978184 | ||||||||
\(477\) | −50.5222 | + | 36.7065i | −0.00484959 | + | 0.00352343i | ||||
\(478\) | −459.039 | + | 1412.78i | −0.0439246 | + | 0.135186i | ||||
\(479\) | −486.157 | + | 1496.24i | −0.0463739 | + | 0.142724i | −0.971562 | − | 0.236784i | \(-0.923907\pi\) |
0.925188 | + | 0.379508i | \(0.123907\pi\) | |||||||
\(480\) | −5665.18 | − | 1767.23i | −0.538706 | − | 0.168047i | ||||
\(481\) | 1817.04 | + | 5592.29i | 0.172245 | + | 0.530117i | ||||
\(482\) | −448.113 | −0.0423465 | ||||||||
\(483\) | 8843.35 | + | 27217.0i | 0.833098 | + | 2.56401i | ||||
\(484\) | −8371.07 | − | 6081.94i | −0.786164 | − | 0.571182i | ||||
\(485\) | −12447.4 | − | 3882.91i | −1.16538 | − | 0.363534i | ||||
\(486\) | 981.835 | − | 713.345i | 0.0916397 | − | 0.0665802i | ||||
\(487\) | 9327.35 | + | 6776.71i | 0.867890 | + | 0.630559i | 0.930020 | − | 0.367509i | \(-0.119789\pi\) |
−0.0621299 | + | 0.998068i | \(0.519789\pi\) | |||||||
\(488\) | −2128.87 | − | 1546.71i | −0.197478 | − | 0.143476i | ||||
\(489\) | −5049.16 | + | 3668.43i | −0.466934 | + | 0.339248i | ||||
\(490\) | −1242.19 | − | 1668.04i | −0.114523 | − | 0.153785i | ||||
\(491\) | 2525.68 | + | 1835.01i | 0.232143 | + | 0.168662i | 0.697776 | − | 0.716316i | \(-0.254173\pi\) |
−0.465633 | + | 0.884978i | \(0.654173\pi\) | |||||||
\(492\) | 4091.35 | + | 12591.9i | 0.374903 | + | 1.15383i | ||||
\(493\) | −4343.86 | −0.396831 | ||||||||
\(494\) | 11.3825 | + | 35.0317i | 0.00103669 | + | 0.00319059i | ||||
\(495\) | −25.6417 | − | 2176.69i | −0.00232830 | − | 0.197646i | ||||
\(496\) | −1756.41 | + | 5405.69i | −0.159003 | + | 0.489360i | ||||
\(497\) | 8255.05 | − | 25406.4i | 0.745049 | − | 2.29303i | ||||
\(498\) | −2860.96 | + | 2078.61i | −0.257435 | + | 0.187037i | ||||
\(499\) | −10363.6 | −0.929733 | −0.464866 | − | 0.885381i | \(-0.653898\pi\) | ||||
−0.464866 | + | 0.885381i | \(0.653898\pi\) | |||||||
\(500\) | −10599.0 | − | 3034.26i | −0.948003 | − | 0.271392i | ||||
\(501\) | −12892.8 | −1.14972 | ||||||||
\(502\) | 1031.11 | − | 749.145i | 0.0916747 | − | 0.0666055i | ||||
\(503\) | −2333.02 | + | 7180.28i | −0.206807 | + | 0.636487i | 0.792827 | + | 0.609447i | \(0.208608\pi\) |
−0.999634 | + | 0.0270405i | \(0.991392\pi\) | |||||||
\(504\) | 2176.10 | − | 6697.34i | 0.192323 | − | 0.591911i | ||||
\(505\) | 256.249 | + | 21752.7i | 0.0225800 | + | 1.91679i | ||||
\(506\) | 51.2282 | + | 157.664i | 0.00450073 | + | 0.0138518i | ||||
\(507\) | 3274.18 | 0.286808 | ||||||||
\(508\) | 3665.73 | + | 11281.9i | 0.320158 | + | 0.985345i | ||||
\(509\) | −6190.43 | − | 4497.61i | −0.539069 | − | 0.391657i | 0.284670 | − | 0.958626i | \(-0.408116\pi\) |
−0.823739 | + | 0.566969i | \(0.808116\pi\) | |||||||
\(510\) | −807.108 | − | 1083.81i | −0.0700771 | − | 0.0941016i | ||||
\(511\) | 2711.18 | − | 1969.79i | 0.234708 | − | 0.170525i | ||||
\(512\) | 5224.84 | + | 3796.07i | 0.450991 | + | 0.327664i | ||||
\(513\) | 306.076 | + | 222.377i | 0.0263423 | + | 0.0191388i | ||||
\(514\) | 581.711 | − | 422.638i | 0.0499186 | − | 0.0362680i | ||||
\(515\) | 11392.4 | + | 3553.82i | 0.974779 | + | 0.304078i | ||||
\(516\) | 13706.4 | + | 9958.31i | 1.16936 | + | 0.849593i | ||||
\(517\) | −322.137 | − | 991.436i | −0.0274034 | − | 0.0843390i | ||||
\(518\) | 1384.14 | 0.117405 | ||||||||
\(519\) | 7820.51 | + | 24069.1i | 0.661430 | + | 2.03567i | ||||
\(520\) | 2406.58 | + | 750.723i | 0.202953 | + | 0.0633103i | ||||
\(521\) | 2994.08 | − | 9214.83i | 0.251772 | − | 0.774874i | −0.742677 | − | 0.669650i | \(-0.766444\pi\) |
0.994449 | − | 0.105224i | \(-0.0335558\pi\) | |||||||
\(522\) | −461.998 | + | 1421.88i | −0.0387377 | + | 0.119222i | ||||
\(523\) | 5443.80 | − | 3955.15i | 0.455145 | − | 0.330682i | −0.336479 | − | 0.941691i | \(-0.609236\pi\) |
0.791624 | + | 0.611009i | \(0.209236\pi\) | |||||||
\(524\) | −6729.53 | −0.561032 | ||||||||
\(525\) | 9073.36 | − | 30339.0i | 0.754274 | − | 2.52210i | ||||
\(526\) | 987.942 | 0.0818941 | ||||||||
\(527\) | −3216.84 | + | 2337.17i | −0.265897 | + | 0.193185i | ||||
\(528\) | −703.838 | + | 2166.19i | −0.0580125 | + | 0.178544i | ||||
\(529\) | 183.553 | − | 564.919i | 0.0150862 | − | 0.0464305i | ||||
\(530\) | −4.98543 | + | 1.68504i | −0.000408591 | + | 0.000138101i | ||||
\(531\) | −4208.33 | − | 12951.9i | −0.343928 | − | 1.05850i | ||||
\(532\) | −614.452 | −0.0500749 | ||||||||
\(533\) | −2613.11 | − | 8042.33i | −0.212357 | − | 0.653569i | ||||
\(534\) | −2683.37 | − | 1949.59i | −0.217455 | − | 0.157990i | ||||
\(535\) | 23.5397 | + | 1998.26i | 0.00190226 | + | 0.161481i | ||||
\(536\) | 519.136 | − | 377.174i | 0.0418344 | − | 0.0303945i | ||||
\(537\) | −15161.7 | − | 11015.7i | −1.21839 | − | 0.885215i | ||||
\(538\) | −2104.69 | − | 1529.15i | −0.168661 | − | 0.122540i | ||||
\(539\) | −1983.95 | + | 1441.42i | −0.158543 | + | 0.115188i | ||||
\(540\) | 12178.9 | − | 4116.40i | 0.970552 | − | 0.328040i | ||||
\(541\) | −7081.43 | − | 5144.96i | −0.562762 | − | 0.408871i | 0.269707 | − | 0.962943i | \(-0.413073\pi\) |
−0.832469 | + | 0.554072i | \(0.813073\pi\) | |||||||
\(542\) | −594.369 | − | 1829.28i | −0.0471039 | − | 0.144971i | ||||
\(543\) | −12444.4 | −0.983497 | ||||||||
\(544\) | 833.758 | + | 2566.04i | 0.0657115 | + | 0.202239i | ||||
\(545\) | 4037.05 | − | 5696.44i | 0.317300 | − | 0.447723i | ||||
\(546\) | −1110.96 | + | 3419.17i | −0.0870780 | + | 0.267998i | ||||
\(547\) | −4600.63 | + | 14159.3i | −0.359613 | + | 1.10678i | 0.593672 | + | 0.804707i | \(0.297678\pi\) |
−0.953286 | + | 0.302070i | \(0.902322\pi\) | |||||||
\(548\) | −1885.23 | + | 1369.70i | −0.146958 | + | 0.106772i | ||||
\(549\) | 21973.1 | 1.70817 | ||||||||
\(550\) | 52.5606 | − | 175.749i | 0.00407489 | − | 0.0136254i | ||||
\(551\) | 262.744 | 0.0203145 | ||||||||
\(552\) | −4089.92 | + | 2971.50i | −0.315359 | + | 0.229122i | ||||
\(553\) | 4963.68 | − | 15276.6i | 0.381695 | − | 1.17474i | ||||
\(554\) | −337.165 | + | 1037.69i | −0.0258570 | + | 0.0795796i | ||||
\(555\) | 7793.20 | + | 10464.9i | 0.596042 | + | 0.800382i | ||||
\(556\) | −5161.24 | − | 15884.7i | −0.393678 | − | 1.21162i | ||||
\(557\) | −8700.83 | −0.661878 | −0.330939 | − | 0.943652i | \(-0.607365\pi\) | ||||
−0.330939 | + | 0.943652i | \(0.607365\pi\) | |||||||
\(558\) | 422.898 | + | 1301.55i | 0.0320837 | + | 0.0987434i | ||||
\(559\) | −8754.19 | − | 6360.29i | −0.662366 | − | 0.481237i | ||||
\(560\) | −11899.9 | + | 16791.3i | −0.897970 | + | 1.26707i | ||||
\(561\) | −1289.07 | + | 936.561i | −0.0970132 | + | 0.0704842i | ||||
\(562\) | 381.765 | + | 277.369i | 0.0286544 | + | 0.0208187i | ||||
\(563\) | −9548.09 | − | 6937.09i | −0.714749 | − | 0.519296i | 0.169953 | − | 0.985452i | \(-0.445638\pi\) |
−0.884702 | + | 0.466156i | \(0.845638\pi\) | |||||||
\(564\) | 12769.2 | − | 9277.35i | 0.953332 | − | 0.692636i | ||||
\(565\) | −11780.7 | + | 16623.0i | −0.877200 | + | 1.23776i | ||||
\(566\) | 947.244 | + | 688.213i | 0.0703456 | + | 0.0511091i | ||||
\(567\) | 327.442 | + | 1007.76i | 0.0242527 | + | 0.0746422i | ||||
\(568\) | 4719.10 | 0.348608 | ||||||||
\(569\) | 651.071 | + | 2003.79i | 0.0479689 | + | 0.147633i | 0.972172 | − | 0.234268i | \(-0.0752694\pi\) |
−0.924203 | + | 0.381901i | \(0.875269\pi\) | |||||||
\(570\) | 48.8189 | + | 65.5555i | 0.00358737 | + | 0.00481722i | ||||
\(571\) | 6827.98 | − | 21014.3i | 0.500424 | − | 1.54015i | −0.307907 | − | 0.951417i | \(-0.599628\pi\) |
0.808330 | − | 0.588729i | \(-0.200372\pi\) | |||||||
\(572\) | 456.062 | − | 1403.61i | 0.0333372 | − | 0.102601i | ||||
\(573\) | 25607.9 | − | 18605.3i | 1.86699 | − | 1.35645i | ||||
\(574\) | −1990.55 | −0.144746 | ||||||||
\(575\) | −11225.1 | + | 8566.67i | −0.814119 | + | 0.621313i | ||||
\(576\) | −20794.0 | −1.50419 | ||||||||
\(577\) | 4506.84 | − | 3274.41i | 0.325169 | − | 0.236249i | −0.413209 | − | 0.910636i | \(-0.635592\pi\) |
0.738378 | + | 0.674387i | \(0.235592\pi\) | |||||||
\(578\) | 316.687 | − | 974.661i | 0.0227897 | − | 0.0701394i | ||||
\(579\) | 6787.97 | − | 20891.2i | 0.487216 | − | 1.49950i | ||||
\(580\) | 5162.37 | − | 7284.31i | 0.369579 | − | 0.521491i | ||||
\(581\) | 11642.9 | + | 35833.0i | 0.831372 | + | 2.55870i | ||||
\(582\) | 3284.84 | 0.233954 | ||||||||
\(583\) | 1.91749 | + | 5.90144i | 0.000136217 | + | 0.000419233i | ||||
\(584\) | 478.939 | + | 347.970i | 0.0339360 | + | 0.0246560i | ||||
\(585\) | −19942.3 | + | 6740.38i | −1.40942 | + | 0.476376i | ||||
\(586\) | −1.36649 | + | 0.992812i | −9.63295e−5 | + | 6.99875e-5i | ||||
\(587\) | −8528.93 | − | 6196.63i | −0.599705 | − | 0.435711i | 0.246069 | − | 0.969252i | \(-0.420861\pi\) |
−0.845774 | + | 0.533541i | \(0.820861\pi\) | |||||||
\(588\) | −30038.4 | − | 21824.2i | −2.10674 | − | 1.53064i | ||||
\(589\) | 194.575 | − | 141.367i | 0.0136117 | − | 0.00988950i | ||||
\(590\) | −13.5181 | − | 1147.53i | −0.000943270 | − | 0.0800731i | ||||
\(591\) | 29613.9 | + | 21515.8i | 2.06118 | + | 1.49753i | ||||
\(592\) | −2620.46 | − | 8064.93i | −0.181926 | − | 0.559910i | ||||
\(593\) | 27399.0 | 1.89737 | 0.948687 | − | 0.316215i | \(-0.102412\pi\) | ||||
0.948687 | + | 0.316215i | \(0.102412\pi\) | |||||||
\(594\) | 66.1007 | + | 203.437i | 0.00456590 | + | 0.0140524i | ||||
\(595\) | −13639.3 | + | 4610.00i | −0.939760 | + | 0.317633i | ||||
\(596\) | 3247.89 | − | 9995.99i | 0.223220 | − | 0.687000i | ||||
\(597\) | −11082.1 | + | 34107.1i | −0.759729 | + | 2.33821i | ||||
\(598\) | 1296.95 | − | 942.287i | 0.0886892 | − | 0.0644364i | ||||
\(599\) | 13271.6 | 0.905282 | 0.452641 | − | 0.891693i | \(-0.350482\pi\) | ||||
0.452641 | + | 0.891693i | \(0.350482\pi\) | |||||||
\(600\) | 5592.47 | − | 131.778i | 0.380520 | − | 0.00896637i | ||||
\(601\) | −6877.92 | −0.466816 | −0.233408 | − | 0.972379i | \(-0.574988\pi\) | ||||
−0.233408 | + | 0.972379i | \(0.574988\pi\) | |||||||
\(602\) | −2060.69 | + | 1497.18i | −0.139514 | + | 0.101363i | ||||
\(603\) | −1655.79 | + | 5096.00i | −0.111823 | + | 0.344155i | ||||
\(604\) | −7855.10 | + | 24175.5i | −0.529171 | + | 1.62862i | ||||
\(605\) | 13999.4 | + | 4367.05i | 0.940755 | + | 0.293464i | ||||
\(606\) | −1693.54 | − | 5212.19i | −0.113524 | − | 0.349391i | ||||
\(607\) | 26271.0 | 1.75668 | 0.878340 | − | 0.478036i | \(-0.158651\pi\) | ||||
0.878340 | + | 0.478036i | \(0.158651\pi\) | |||||||
\(608\) | −50.4309 | − | 155.210i | −0.00336389 | − | 0.0103530i | ||||
\(609\) | 20746.8 | + | 15073.4i | 1.38046 | + | 1.00296i | ||||
\(610\) | 1767.64 | + | 551.407i | 0.117327 | + | 0.0365997i | ||||
\(611\) | −8155.56 | + | 5925.36i | −0.539998 | + | 0.392332i | ||||
\(612\) | −12123.0 | − | 8807.88i | −0.800725 | − | 0.581761i | ||||
\(613\) | −13072.7 | − | 9497.88i | −0.861340 | − | 0.625800i | 0.0669090 | − | 0.997759i | \(-0.478686\pi\) |
−0.928249 | + | 0.371959i | \(0.878686\pi\) | |||||||
\(614\) | 1412.64 | − | 1026.34i | 0.0928490 | − | 0.0674588i | ||||
\(615\) | −11207.5 | − | 15049.8i | −0.734845 | − | 0.986772i | ||||
\(616\) | −566.083 | − | 411.284i | −0.0370262 | − | 0.0269011i | ||||
\(617\) | 4487.16 | + | 13810.1i | 0.292782 | + | 0.901090i | 0.983958 | + | 0.178403i | \(0.0570930\pi\) |
−0.691176 | + | 0.722687i | \(0.742907\pi\) | |||||||
\(618\) | −3006.45 | −0.195691 | ||||||||
\(619\) | −74.2046 | − | 228.378i | −0.00481831 | − | 0.0148292i | 0.948618 | − | 0.316422i | \(-0.102482\pi\) |
−0.953437 | + | 0.301593i | \(0.902482\pi\) | |||||||
\(620\) | −96.2663 | − | 8171.94i | −0.00623572 | − | 0.529343i | ||||
\(621\) | 5088.19 | − | 15659.9i | 0.328796 | − | 1.01193i | ||||
\(622\) | −1108.05 | + | 3410.22i | −0.0714288 | + | 0.219835i | ||||
\(623\) | −28589.4 | + | 20771.4i | −1.83854 | + | 1.33578i | ||||
\(624\) | 22025.6 | 1.41303 | ||||||||
\(625\) | 15607.7 | − | 735.951i | 0.998890 | − | 0.0471008i | ||||
\(626\) | 397.735 | 0.0253940 | ||||||||
\(627\) | 77.9708 | − | 56.6491i | 0.00496627 | − | 0.00360821i | ||||
\(628\) | −4072.90 | + | 12535.1i | −0.258800 | + | 0.796504i | ||||
\(629\) | 1833.17 | − | 5641.93i | 0.116206 | − | 0.357645i | ||||
\(630\) | 58.3690 | + | 4954.88i | 0.00369123 | + | 0.313344i | ||||
\(631\) | −6189.79 | − | 19050.2i | −0.390510 | − | 1.20187i | −0.932404 | − | 0.361419i | \(-0.882293\pi\) |
0.541894 | − | 0.840447i | \(-0.317707\pi\) | |||||||
\(632\) | 2837.55 | 0.178595 | ||||||||
\(633\) | 2576.08 | + | 7928.35i | 0.161753 | + | 0.497826i | ||||
\(634\) | 2767.22 | + | 2010.50i | 0.173344 | + | 0.125942i | ||||
\(635\) | −10041.6 | − | 13484.1i | −0.627540 | − | 0.842679i | ||||
\(636\) | −76.0074 | + | 55.2226i | −0.00473882 | + | 0.00344295i | ||||
\(637\) | 19185.3 | + | 13938.9i | 1.19333 | + | 0.867002i | ||||
\(638\) | 120.183 | + | 87.3179i | 0.00745781 | + | 0.00541841i | ||||
\(639\) | −31879.9 | + | 23162.1i | −1.97363 | + | 1.43393i | ||||
\(640\) | −7041.39 | − | 2196.53i | −0.434899 | − | 0.135665i | ||||
\(641\) | −960.288 | − | 697.690i | −0.0591718 | − | 0.0429908i | 0.557806 | − | 0.829971i | \(-0.311643\pi\) |
−0.616978 | + | 0.786980i | \(0.711643\pi\) | |||||||
\(642\) | −155.574 | − | 478.807i | −0.00956387 | − | 0.0294346i | ||||
\(643\) | −3888.22 | −0.238470 | −0.119235 | − | 0.992866i | \(-0.538044\pi\) | ||||
−0.119235 | + | 0.992866i | \(0.538044\pi\) | |||||||
\(644\) | 8263.80 | + | 25433.3i | 0.505651 | + | 1.55623i | ||||
\(645\) | −22922.0 | − | 7150.42i | −1.39931 | − | 0.436508i | ||||
\(646\) | 11.4835 | − | 35.3427i | 0.000699403 | − | 0.00215254i | ||||
\(647\) | −1580.02 | + | 4862.81i | −0.0960080 | + | 0.295482i | −0.987515 | − | 0.157525i | \(-0.949649\pi\) |
0.891507 | + | 0.453007i | \(0.149649\pi\) | |||||||
\(648\) | −151.437 | + | 110.025i | −0.00918057 | + | 0.00667008i | ||||
\(649\) | −1353.18 | −0.0818441 | ||||||||
\(650\) | −1773.42 | + | 41.7880i | −0.107014 | + | 0.00252163i | ||||
\(651\) | 23474.1 | 1.41324 | ||||||||
\(652\) | −4718.26 | + | 3428.01i | −0.283407 | + | 0.205907i | ||||
\(653\) | 7156.24 | − | 22024.6i | 0.428859 | − | 1.31989i | −0.470390 | − | 0.882458i | \(-0.655887\pi\) |
0.899250 | − | 0.437435i | \(-0.144113\pi\) | |||||||
\(654\) | −543.537 | + | 1672.84i | −0.0324984 | + | 0.100020i | ||||
\(655\) | 9035.37 | − | 3053.90i | 0.538994 | − | 0.182176i | ||||
\(656\) | 3768.51 | + | 11598.3i | 0.224292 | + | 0.690300i | ||||
\(657\) | −4943.36 | −0.293545 | ||||||||
\(658\) | 733.291 | + | 2256.84i | 0.0434448 | + | 0.133709i | ||||
\(659\) | −16616.7 | − | 12072.7i | −0.982239 | − | 0.713638i | −0.0240308 | − | 0.999711i | \(-0.507650\pi\) |
−0.958208 | + | 0.286073i | \(0.907650\pi\) | |||||||
\(660\) | −38.5762 | − | 3274.69i | −0.00227512 | − | 0.193132i | ||||
\(661\) | 15840.0 | − | 11508.4i | 0.932077 | − | 0.677194i | −0.0144232 | − | 0.999896i | \(-0.504591\pi\) |
0.946501 | + | 0.322702i | \(0.104591\pi\) | |||||||
\(662\) | −2042.27 | − | 1483.80i | −0.119902 | − | 0.0871138i | ||||
\(663\) | 12465.6 | + | 9056.79i | 0.730202 | + | 0.530523i | ||||
\(664\) | −5384.65 | + | 3912.17i | −0.314706 | + | 0.228647i | ||||
\(665\) | 824.991 | − | 278.842i | 0.0481079 | − | 0.0162602i | ||||
\(666\) | −1651.81 | − | 1200.11i | −0.0961057 | − | 0.0698249i | ||||
\(667\) | −3533.66 | − | 10875.5i | −0.205133 | − | 0.631335i | ||||
\(668\) | −12047.9 | −0.697824 | ||||||||
\(669\) | −14083.8 | − | 43345.5i | −0.813919 | − | 2.50498i | ||||
\(670\) | −261.084 | + | 368.400i | −0.0150545 | + | 0.0212426i | ||||
\(671\) | 674.683 | − | 2076.46i | 0.0388165 | − | 0.119465i | ||||
\(672\) | 4922.17 | − | 15148.9i | 0.282555 | − | 0.869613i | ||||
\(673\) | 9345.74 | − | 6790.08i | 0.535293 | − | 0.388913i | −0.287041 | − | 0.957918i | \(-0.592672\pi\) |
0.822334 | + | 0.569005i | \(0.192672\pi\) | |||||||
\(674\) | −467.279 | −0.0267046 | ||||||||
\(675\) | −14483.9 | + | 11053.7i | −0.825907 | + | 0.630309i | ||||
\(676\) | 3059.61 | 0.174079 | ||||||||
\(677\) | 18724.9 | − | 13604.5i | 1.06301 | − | 0.772322i | 0.0883672 | − | 0.996088i | \(-0.471835\pi\) |
0.974643 | + | 0.223766i | \(0.0718351\pi\) | |||||||
\(678\) | 1586.12 | − | 4881.57i | 0.0898445 | − | 0.276513i | ||||
\(679\) | 10814.9 | − | 33284.7i | 0.611246 | − | 1.88122i | ||||
\(680\) | −1519.07 | − | 2039.85i | −0.0856671 | − | 0.115036i | ||||
\(681\) | −8159.29 | − | 25111.7i | −0.459126 | − | 1.41304i | ||||
\(682\) | 135.982 | 0.00763490 | ||||||||
\(683\) | 6453.37 | + | 19861.4i | 0.361539 | + | 1.11270i | 0.952120 | + | 0.305725i | \(0.0988989\pi\) |
−0.590580 | + | 0.806979i | \(0.701101\pi\) | |||||||
\(684\) | 733.276 | + | 532.756i | 0.0409905 | + | 0.0297813i | ||||
\(685\) | 1909.62 | − | 2694.56i | 0.106515 | − | 0.150297i | ||||
\(686\) | 1737.77 | − | 1262.57i | 0.0967180 | − | 0.0702698i | ||||
\(687\) | 19677.0 | + | 14296.2i | 1.09276 | + | 0.793936i | ||||
\(688\) | 12624.9 | + | 9172.51i | 0.699591 | + | 0.508283i | ||||
\(689\) | 48.5453 | − | 35.2702i | 0.00268422 | − | 0.00195020i | ||||
\(690\) | 2056.90 | − | 2902.37i | 0.113485 | − | 0.160132i | ||||
\(691\) | 6731.34 | + | 4890.61i | 0.370582 | + | 0.269244i | 0.757452 | − | 0.652891i | \(-0.226444\pi\) |
−0.386870 | + | 0.922134i | \(0.626444\pi\) | |||||||
\(692\) | 7307.99 | + | 22491.7i | 0.401457 | + | 1.23556i | ||||
\(693\) | 5842.82 | 0.320275 | ||||||||
\(694\) | −197.912 | − | 609.112i | −0.0108251 | − | 0.0333164i | ||||
\(695\) | 14138.3 | + | 18985.3i | 0.771647 | + | 1.03619i | ||||
\(696\) | −1399.90 | + | 4308.45i | −0.0762401 | + | 0.234643i | ||||
\(697\) | −2636.31 | + | 8113.73i | −0.143267 | + | 0.440932i | ||||
\(698\) | −494.418 | + | 359.216i | −0.0268109 | + | 0.0194792i | ||||
\(699\) | −27902.0 | −1.50980 | ||||||||
\(700\) | 8478.73 | − | 28350.7i | 0.457808 | − | 1.53079i | ||||
\(701\) | −17726.6 | −0.955096 | −0.477548 | − | 0.878606i | \(-0.658474\pi\) | ||||
−0.477548 | + | 0.878606i | \(0.658474\pi\) | |||||||
\(702\) | 1673.47 | − | 1215.85i | 0.0899733 | − | 0.0653694i | ||||
\(703\) | −110.882 | + | 341.259i | −0.00594878 | + | 0.0183085i | ||||
\(704\) | −638.479 | + | 1965.04i | −0.0341812 | + | 0.105199i | ||||
\(705\) | −12934.4 | + | 18250.9i | −0.690973 | + | 0.974991i | ||||
\(706\) | 881.775 | + | 2713.83i | 0.0470057 | + | 0.144669i | ||||
\(707\) | −58390.0 | −3.10605 | ||||||||
\(708\) | −6331.17 | − | 19485.3i | −0.336073 | − | 1.03433i | ||||
\(709\) | 17039.8 | + | 12380.1i | 0.902599 | + | 0.655776i | 0.939132 | − | 0.343556i | \(-0.111632\pi\) |
−0.0365336 | + | 0.999332i | \(0.511632\pi\) | |||||||
\(710\) | −3145.84 | + | 1063.27i | −0.166284 | + | 0.0562028i | ||||
\(711\) | −19169.1 | + | 13927.1i | −1.01111 | + | 0.734612i | ||||
\(712\) | −5050.42 | − | 3669.34i | −0.265832 | − | 0.193138i | ||||
\(713\) | −8468.29 | − | 6152.57i | −0.444796 | − | 0.323163i | ||||
\(714\) | 2934.34 | − | 2131.93i | 0.153803 | − | 0.111744i | ||||
\(715\) | 24.6383 | + | 2091.52i | 0.00128870 | + | 0.109396i | ||||
\(716\) | −14168.1 | − | 10293.7i | −0.739507 | − | 0.537283i | ||||
\(717\) | −11614.7 | − | 35746.3i | −0.604962 | − | 1.86188i | ||||
\(718\) | 1172.73 | 0.0609553 | ||||||||
\(719\) | 2215.42 | + | 6818.37i | 0.114911 | + | 0.353661i | 0.991929 | − | 0.126798i | \(-0.0404701\pi\) |
−0.877017 | + | 0.480459i | \(0.840470\pi\) | |||||||
\(720\) | 28759.9 | − | 9720.65i | 1.48864 | − | 0.503149i | ||||
\(721\) | −9898.27 | + | 30463.8i | −0.511277 | + | 1.57355i | ||||
\(722\) | 706.482 | − | 2174.33i | 0.0364163 | − | 0.112078i | ||||
\(723\) | 9172.81 | − | 6664.43i | 0.471840 | − | 0.342812i | ||||
\(724\) | −11628.8 | −0.596936 | ||||||||
\(725\) | −3625.57 | + | 12123.0i | −0.185725 | + | 0.621014i | ||||
\(726\) | −3694.42 | −0.188860 | ||||||||
\(727\) | −12118.9 | + | 8804.90i | −0.618246 | + | 0.449182i | −0.852309 | − | 0.523039i | \(-0.824798\pi\) |
0.234062 | + | 0.972222i | \(0.424798\pi\) | |||||||
\(728\) | −2090.95 | + | 6435.28i | −0.106450 | + | 0.327620i | ||||
\(729\) | −9783.60 | + | 30110.8i | −0.497058 | + | 1.52979i | ||||
\(730\) | −397.672 | − | 124.052i | −0.0201623 | − | 0.00628955i | ||||
\(731\) | 3373.49 | + | 10382.5i | 0.170688 | + | 0.525323i | ||||
\(732\) | 33057.1 | 1.66916 | ||||||||
\(733\) | −1543.21 | − | 4749.52i | −0.0777625 | − | 0.239328i | 0.904617 | − | 0.426225i | \(-0.140157\pi\) |
−0.982380 | + | 0.186897i | \(0.940157\pi\) | |||||||
\(734\) | 1278.76 | + | 929.077i | 0.0643053 | + | 0.0467205i | ||||
\(735\) | 50234.9 | + | 15670.5i | 2.52101 | + | 0.786417i | ||||
\(736\) | −5746.21 | + | 4174.86i | −0.287783 | + | 0.209086i | ||||
\(737\) | 430.733 | + | 312.946i | 0.0215281 | + | 0.0156411i | ||||
\(738\) | 2375.49 | + | 1725.89i | 0.118486 | + | 0.0860854i | ||||
\(739\) | 24582.0 | − | 17859.9i | 1.22363 | − | 0.889021i | 0.227235 | − | 0.973840i | \(-0.427031\pi\) |
0.996396 | + | 0.0848193i | \(0.0270313\pi\) | |||||||
\(740\) | 7282.47 | + | 9779.11i | 0.361769 | + | 0.485794i | ||||
\(741\) | −753.998 | − | 547.811i | −0.0373803 | − | 0.0271584i | ||||
\(742\) | −4.36486 | − | 13.4336i | −0.000215955 | − | 0.000664642i | ||||
\(743\) | 22967.9 | 1.13406 | 0.567032 | − | 0.823696i | \(-0.308092\pi\) | ||||
0.567032 | + | 0.823696i | \(0.308092\pi\) | |||||||
\(744\) | 1281.42 | + | 3943.82i | 0.0631442 | + | 0.194338i | ||||
\(745\) | 175.465 | + | 14895.0i | 0.00862889 | + | 0.732497i | ||||
\(746\) | 120.360 | − | 370.429i | 0.00590707 | − | 0.0181801i | ||||
\(747\) | 17174.4 | − | 52857.4i | 0.841203 | − | 2.58896i | ||||
\(748\) | −1204.58 | + | 875.182i | −0.0588823 | + | 0.0427805i | ||||
\(749\) | −5363.86 | −0.261671 | ||||||||
\(750\) | −3698.36 | + | 1347.90i | −0.180060 | + | 0.0656246i | ||||
\(751\) | −10710.0 | −0.520391 | −0.260196 | − | 0.965556i | \(-0.583787\pi\) | ||||
−0.260196 | + | 0.965556i | \(0.583787\pi\) | |||||||
\(752\) | 11761.6 | − | 8545.28i | 0.570346 | − | 0.414381i | ||||
\(753\) | −9965.21 | + | 30669.8i | −0.482274 | + | 1.48429i | ||||
\(754\) | 443.920 | − | 1366.25i | 0.0214412 | − | 0.0659891i | ||||
\(755\) | −424.365 | − | 36023.8i | −0.0204559 | − | 1.73648i | ||||
\(756\) | 10662.9 | + | 32817.1i | 0.512972 | + | 1.57877i | ||||
\(757\) | −32701.0 | −1.57006 | −0.785031 | − | 0.619457i | \(-0.787353\pi\) | ||||
−0.785031 | + | 0.619457i | \(0.787353\pi\) | |||||||
\(758\) | 391.830 | + | 1205.93i | 0.0187756 | + | 0.0577854i | ||||
\(759\) | −3393.45 | − | 2465.48i | −0.162285 | − | 0.117907i | ||||
\(760\) | 91.8828 | + | 123.383i | 0.00438545 | + | 0.00588891i | ||||
\(761\) | 9026.96 | − | 6558.47i | 0.429996 | − | 0.312411i | −0.351651 | − | 0.936131i | \(-0.614380\pi\) |
0.781647 | + | 0.623721i | \(0.214380\pi\) | |||||||
\(762\) | 3426.55 | + | 2489.54i | 0.162901 | + | 0.118355i | ||||
\(763\) | 15161.0 | + | 11015.1i | 0.719352 | + | 0.522640i | ||||
\(764\) | 23929.7 | − | 17385.9i | 1.13318 | − | 0.823300i | ||||
\(765\) | 20274.0 | + | 6324.38i | 0.958179 | + | 0.298900i | ||||
\(766\) | −992.745 | − | 721.272i | −0.0468268 | − | 0.0340217i | ||||
\(767\) | 4043.66 | + | 12445.1i | 0.190363 | + | 0.585876i | ||||
\(768\) | −29866.4 | −1.40327 | ||||||||
\(769\) | 2661.27 | + | 8190.54i | 0.124796 | + | 0.384081i | 0.993864 | − | 0.110611i | \(-0.0352807\pi\) |
−0.869068 | + | 0.494692i | \(0.835281\pi\) | |||||||
\(770\) | 470.030 | + | 146.624i | 0.0219983 | + | 0.00686227i | ||||
\(771\) | −5621.97 | + | 17302.7i | −0.262608 | + | 0.808223i | ||||
\(772\) | 6343.11 | − | 19522.1i | 0.295717 | − | 0.910123i | ||||
\(773\) | −10084.7 | + | 7326.96i | −0.469239 | + | 0.340922i | −0.797144 | − | 0.603789i | \(-0.793657\pi\) |
0.327906 | + | 0.944710i | \(0.393657\pi\) | |||||||
\(774\) | 3757.32 | 0.174488 | ||||||||
\(775\) | 3837.72 | + | 10928.3i | 0.177877 | + | 0.506525i | ||||
\(776\) | 6182.45 | 0.286001 | ||||||||
\(777\) | −28333.2 | + | 20585.3i | −1.30817 | + | 0.950441i | ||||
\(778\) | 194.439 | − | 598.421i | 0.00896011 | − | 0.0275764i | ||||
\(779\) | 159.461 | − | 490.769i | 0.00733411 | − | 0.0225721i | ||||
\(780\) | −30002.0 | + | 10140.5i | −1.37723 | + | 0.465496i | ||||
\(781\) | 1209.95 | + | 3723.85i | 0.0554360 | + | 0.170614i | ||||
\(782\) | −1617.35 | −0.0739593 | ||||||||
\(783\) | −4559.55 | − | 14032.8i | −0.208103 | − | 0.640476i | ||||
\(784\) | −27668.1 | − | 20102.1i | −1.26039 | − | 0.915728i | ||||
\(785\) | −220.035 | − | 18678.5i | −0.0100043 | − | 0.849253i | ||||
\(786\) | −1943.86 | + | 1412.30i | −0.0882126 | + | 0.0640902i | ||||
\(787\) | −25626.9 | − | 18619.0i | −1.16074 | − | 0.843325i | −0.170867 | − | 0.985294i | \(-0.554657\pi\) |
−0.989871 | + | 0.141969i | \(0.954657\pi\) | |||||||
\(788\) | 27673.2 | + | 20105.7i | 1.25103 | + | 0.908930i | ||||
\(789\) | −20223.0 | + | 14692.9i | −0.912495 | + | 0.662966i | ||||
\(790\) | −1891.57 | + | 639.337i | −0.0851885 | + | 0.0287932i | ||||
\(791\) | −44242.0 | − | 32143.7i | −1.98871 | − | 1.44488i | ||||
\(792\) | 318.953 | + | 981.637i | 0.0143100 | + | 0.0440416i | ||||
\(793\) | −21113.3 | −0.945466 | ||||||||
\(794\) | 596.418 | + | 1835.59i | 0.0266575 | + | 0.0820435i | ||||
\(795\) | 76.9907 | − | 108.637i | 0.00343469 | − | 0.00484649i | ||||
\(796\) | −10355.8 | + | 31871.8i | −0.461119 | + | 1.41918i | ||||
\(797\) | −1013.26 | + | 3118.51i | −0.0450334 | + | 0.138599i | −0.971045 | − | 0.238896i | \(-0.923214\pi\) |
0.926012 | + | 0.377495i | \(0.123214\pi\) | |||||||
\(798\) | −177.488 | + | 128.952i | −0.00787342 | + | 0.00572038i | ||||
\(799\) | 10170.3 | 0.450313 | ||||||||
\(800\) | 7857.26 | − | 185.144i | 0.347245 | − | 0.00818230i | ||||
\(801\) | 52127.8 | 2.29943 | ||||||||
\(802\) | 2341.19 | − | 1700.97i | 0.103080 | − | 0.0748920i | ||||
\(803\) | −151.786 | + | 467.149i | −0.00667050 | + | 0.0205297i | ||||
\(804\) | −2491.03 | + | 7666.61i | −0.109269 | + | 0.336294i | ||||
\(805\) | −22637.1 | − | 30397.8i | −0.991123 | − | 1.33091i | ||||
\(806\) | −406.350 | − | 1250.62i | −0.0177582 | − | 0.0546540i | ||||
\(807\) | 65824.6 | 2.87129 | ||||||||
\(808\) | −3187.44 | − | 9809.95i | −0.138780 | − | 0.427120i | ||||
\(809\) | −9511.59 | − | 6910.57i | −0.413362 | − | 0.300325i | 0.361600 | − | 0.932333i | \(-0.382231\pi\) |
−0.774961 | + | 0.632009i | \(0.782231\pi\) | |||||||
\(810\) | 76.1607 | − | 107.466i | 0.00330372 | − | 0.00466169i | ||||
\(811\) | −2885.64 | + | 2096.54i | −0.124943 | + | 0.0907762i | −0.648502 | − | 0.761213i | \(-0.724604\pi\) |
0.523559 | + | 0.851989i | \(0.324604\pi\) | |||||||
\(812\) | 19387.1 | + | 14085.6i | 0.837874 | + | 0.608751i | ||||
\(813\) | 39372.1 | + | 28605.5i | 1.69845 | + | 1.23399i | ||||
\(814\) | −164.130 | + | 119.247i | −0.00706725 | + | 0.00513466i | ||||
\(815\) | 4779.29 | − | 6743.78i | 0.205413 | − | 0.289846i | ||||
\(816\) | −17977.3 | − | 13061.3i | −0.771239 | − | 0.560338i | ||||
\(817\) | −204.050 | − | 628.000i | −0.00873781 | − | 0.0268922i | ||||
\(818\) | 517.546 | 0.0221217 | ||||||||
\(819\) | −17459.9 | − | 53736.2i | −0.744933 | − | 2.29267i | ||||
\(820\) | −10473.0 | − | 14063.5i | −0.446016 | − | 0.598923i | ||||
\(821\) | 7770.73 | − | 23915.9i | 0.330329 | − | 1.01665i | −0.638648 | − | 0.769499i | \(-0.720506\pi\) |
0.968977 | − | 0.247150i | \(-0.0794941\pi\) | |||||||
\(822\) | −257.106 | + | 791.291i | −0.0109095 | + | 0.0335760i | ||||
\(823\) | −4823.85 | + | 3504.74i | −0.204312 | + | 0.148442i | −0.685237 | − | 0.728321i | \(-0.740301\pi\) |
0.480924 | + | 0.876762i | \(0.340301\pi\) | |||||||
\(824\) | −5658.47 | −0.239226 | ||||||||
\(825\) | 1537.87 | + | 4379.24i | 0.0648990 | + | 0.184807i | ||||
\(826\) | 3080.28 | 0.129754 | ||||||||
\(827\) | 33192.9 | − | 24116.0i | 1.39568 | − | 1.01402i | 0.400468 | − | 0.916311i | \(-0.368847\pi\) |
0.995215 | − | 0.0977126i | \(-0.0311526\pi\) | |||||||
\(828\) | 12189.9 | − | 37516.8i | 0.511630 | − | 1.57463i | ||||
\(829\) | −11451.4 | + | 35243.7i | −0.479761 | + | 1.47655i | 0.359665 | + | 0.933081i | \(0.382891\pi\) |
−0.839427 | + | 0.543473i | \(0.817109\pi\) | |||||||
\(830\) | 2708.04 | − | 3821.16i | 0.113250 | − | 0.159801i | ||||
\(831\) | −8530.99 | − | 26255.7i | −0.356121 | − | 1.09603i | ||||
\(832\) | 19980.3 | 0.832563 | ||||||||
\(833\) | −7393.18 | − | 22753.9i | −0.307513 | − | 0.946429i | ||||
\(834\) | −4824.49 | − | 3505.20i | −0.200310 | − | 0.145534i | ||||
\(835\) | 16176.0 | − | 5467.39i | 0.670413 | − | 0.226595i | ||||
\(836\) | 72.8609 | − | 52.9365i | 0.00301429 | − | 0.00219001i | ||||
\(837\) | −10926.8 | − | 7938.78i | −0.451237 | − | 0.327843i | ||||
\(838\) | 768.224 | + | 558.148i | 0.0316681 | + | 0.0230082i | ||||
\(839\) | 7086.37 | − | 5148.55i | 0.291596 | − | 0.211857i | −0.432364 | − | 0.901699i | \(-0.642320\pi\) |
0.723959 | + | 0.689843i | \(0.242320\pi\) | |||||||
\(840\) | 176.864 | + | 15013.8i | 0.00726475 | + | 0.616696i | ||||
\(841\) | 11441.0 | + | 8312.41i | 0.469107 | + | 0.340826i | ||||
\(842\) | 591.548 | + | 1820.60i | 0.0242115 | + | 0.0745153i | ||||
\(843\) | −11939.8 | −0.487814 | ||||||||
\(844\) | 2407.25 | + | 7408.76i | 0.0981766 | + | 0.302156i | ||||
\(845\) | −4107.97 | + | 1388.47i | −0.167241 | + | 0.0565263i | ||||
\(846\) | 1081.68 | − | 3329.07i | 0.0439585 | − | 0.135290i | ||||
\(847\) | −12163.3 | + | 37434.8i | −0.493432 | + | 1.51863i | ||||
\(848\) | −70.0098 | + | 50.8651i | −0.00283508 | + | 0.00205980i | ||||
\(849\) | −29625.2 | −1.19757 | ||||||||
\(850\) | 1472.25 | + | 1017.54i | 0.0594089 | + | 0.0410603i | ||||
\(851\) | 15616.6 | 0.629062 | ||||||||
\(852\) | −47961.3 | + | 34845.9i | −1.92855 | + | 1.40117i | ||||
\(853\) | −7767.18 | + | 23904.9i | −0.311774 | + | 0.959541i | 0.665288 | + | 0.746587i | \(0.268309\pi\) |
−0.977062 | + | 0.212955i | \(0.931691\pi\) | |||||||
\(854\) | −1535.80 | + | 4726.72i | −0.0615388 | + | 0.189397i | ||||
\(855\) | −1226.30 | − | 382.538i | −0.0490508 | − | 0.0153012i | ||||
\(856\) | −292.807 | − | 901.169i | −0.0116915 | − | 0.0359828i | ||||
\(857\) | −20757.6 | −0.827381 | −0.413691 | − | 0.910418i | \(-0.635760\pi\) | ||||
−0.413691 | + | 0.910418i | \(0.635760\pi\) | |||||||
\(858\) | −162.834 | − | 501.153i | −0.00647911 | − | 0.0199406i | ||||
\(859\) | 29433.2 | + | 21384.5i | 1.16909 | + | 0.849393i | 0.990900 | − | 0.134603i | \(-0.0429759\pi\) |
0.178190 | + | 0.983996i | \(0.442976\pi\) | |||||||
\(860\) | −21419.8 | − | 6681.81i | −0.849313 | − | 0.264939i | ||||
\(861\) | 40746.3 | − | 29603.9i | 1.61281 | − | 1.17178i | ||||
\(862\) | 943.979 | + | 685.841i | 0.0372994 | + | 0.0270996i | ||||
\(863\) | −2057.61 | − | 1494.94i | −0.0811610 | − | 0.0589669i | 0.546465 | − | 0.837482i | \(-0.315973\pi\) |
−0.627626 | + | 0.778515i | \(0.715973\pi\) | |||||||
\(864\) | −7414.44 | + | 5386.90i | −0.291949 | + | 0.212114i | ||||
\(865\) | −20018.9 | − | 26881.9i | −0.786893 | − | 1.05666i | ||||
\(866\) | −3497.39 | − | 2541.00i | −0.137236 | − | 0.0997075i | ||||
\(867\) | 8012.84 | + | 24661.0i | 0.313876 | + | 0.966011i | ||||
\(868\) | 21935.7 | 0.857770 | ||||||||
\(869\) | 727.533 | + | 2239.12i | 0.0284003 | + | 0.0874072i | ||||
\(870\) | −37.5493 | − | 3187.51i | −0.00146326 | − | 0.124215i | ||||
\(871\) | 1591.00 | − | 4896.60i | 0.0618933 | − | 0.190488i | ||||
\(872\) | −1023.00 | + | 3148.47i | −0.0397283 | + | 0.122271i | ||||
\(873\) | −41765.5 | + | 30344.4i | −1.61919 | + | 1.17641i | ||||
\(874\) | 97.8273 | 0.00378611 | ||||||||
\(875\) | 1481.75 | + | 41912.6i | 0.0572484 | + | 1.61932i | ||||
\(876\) | −7436.98 | −0.286840 | ||||||||
\(877\) | 9569.69 | − | 6952.79i | 0.368467 | − | 0.267707i | −0.388108 | − | 0.921614i | \(-0.626871\pi\) |
0.756575 | + | 0.653907i | \(0.226871\pi\) | |||||||
\(878\) | −609.280 | + | 1875.17i | −0.0234193 | + | 0.0720773i | ||||
\(879\) | 13.2065 | − | 40.6454i | 0.000506762 | − | 0.00155965i | ||||
\(880\) | −35.5322 | − | 3016.29i | −0.00136113 | − | 0.115544i | ||||
\(881\) | 345.956 | + | 1064.74i | 0.0132299 | + | 0.0407175i | 0.957454 | − | 0.288587i | \(-0.0931856\pi\) |
−0.944224 | + | 0.329305i | \(0.893186\pi\) | |||||||
\(882\) | −8234.37 | −0.314360 | ||||||||
\(883\) | 10588.6 | + | 32588.2i | 0.403549 | + | 1.24199i | 0.922101 | + | 0.386949i | \(0.126471\pi\) |
−0.518553 | + | 0.855046i | \(0.673529\pi\) | |||||||
\(884\) | 11648.7 | + | 8463.24i | 0.443197 | + | 0.322002i | ||||
\(885\) | 17343.1 | + | 23288.8i | 0.658735 | + | 0.884569i | ||||
\(886\) | −1491.65 | + | 1083.75i | −0.0565610 | + | 0.0410940i | ||||
\(887\) | −5900.13 | − | 4286.69i | −0.223345 | − | 0.162270i | 0.470486 | − | 0.882407i | \(-0.344079\pi\) |
−0.693831 | + | 0.720138i | \(0.744079\pi\) | |||||||
\(888\) | −5005.16 | − | 3636.46i | −0.189146 | − | 0.137423i | ||||
\(889\) | 36507.4 | − | 26524.2i | 1.37730 | − | 1.00067i | ||||
\(890\) | 4193.45 | + | 1308.13i | 0.157938 | + | 0.0492681i | ||||
\(891\) | −125.649 | − | 91.2893i | −0.00472435 | − | 0.00343244i | ||||
\(892\) | −13160.8 | − | 40504.8i | −0.494010 | − | 1.52041i | ||||
\(893\) | −615.165 | −0.0230523 | ||||||||
\(894\) | −1159.64 | − | 3569.01i | −0.0433828 | − | 0.133519i | ||||
\(895\) | 23694.1 | + | 7391.27i | 0.884923 | + | 0.276048i | ||||
\(896\) | 6117.88 | − | 18828.9i | 0.228107 | − | 0.702042i | ||||
\(897\) | −12534.4 | + | 38577.0i | −0.466568 | + | 1.43595i | ||||
\(898\) | 2055.09 | − | 1493.11i | 0.0763687 | − | 0.0554851i | ||||
\(899\) | −9379.85 | −0.347982 | ||||||||
\(900\) | −34699.6 | + | 26481.7i | −1.28517 | + | 0.980805i | ||||
\(901\) | −60.5380 | −0.00223842 | ||||||||
\(902\) | 236.037 | − | 171.491i | 0.00871305 | − | 0.00633040i | ||||
\(903\) | 19915.7 | − | 61294.2i | 0.733945 | − | 2.25885i | ||||
\(904\) | 2985.26 | − | 9187.68i | 0.109832 | − | 0.338028i | ||||
\(905\) | 15613.4 | − | 5277.22i | 0.573488 | − | 0.193835i | ||||
\(906\) | 2804.62 | + | 8631.73i | 0.102845 | + | 0.316523i | ||||
\(907\) | −12701.0 | −0.464973 | −0.232486 | − | 0.972600i | \(-0.574686\pi\) | ||||
−0.232486 | + | 0.972600i | \(0.574686\pi\) | |||||||
\(908\) | −7624.56 | − | 23466.0i | −0.278667 | − | 0.857650i | ||||
\(909\) | 69681.5 | + | 50626.6i | 2.54256 | + | 1.84728i | ||||
\(910\) | −56.0851 | − | 4761.00i | −0.00204308 | − | 0.173435i | ||||
\(911\) | −26666.2 | + | 19374.2i | −0.969805 | + | 0.704604i | −0.955407 | − | 0.295292i | \(-0.904583\pi\) |
−0.0143976 | + | 0.999896i | \(0.504583\pi\) | |||||||
\(912\) | 1087.38 | + | 790.028i | 0.0394811 | + | 0.0286847i | ||||
\(913\) | −4467.70 | − | 3245.97i | −0.161949 | − | 0.117663i | ||||
\(914\) | 583.824 | − | 424.173i | 0.0211282 | − | 0.0153506i | ||||
\(915\) | −44383.9 | + | 15001.5i | −1.60359 | + | 0.542004i | ||||
\(916\) | 18387.5 | + | 13359.3i | 0.663253 | + | 0.481881i | ||||
\(917\) | 7910.67 | + | 24346.5i | 0.284878 | + | 0.876765i | ||||
\(918\) | −2086.89 | −0.0750302 | ||||||||
\(919\) | 9743.94 | + | 29988.8i | 0.349753 | + | 1.07643i | 0.958990 | + | 0.283441i | \(0.0914760\pi\) |
−0.609237 | + | 0.792988i | \(0.708524\pi\) | |||||||
\(920\) | 3871.32 | − | 5462.59i | 0.138732 | − | 0.195757i | ||||
\(921\) | −13652.5 | + | 42018.0i | −0.488452 | + | 1.50330i | ||||
\(922\) | −263.911 | + | 812.233i | −0.00942671 | + | 0.0290124i | ||||
\(923\) | 30632.5 | − | 22255.8i | 1.09239 | − | 0.793671i | ||||
\(924\) | 8790.15 | 0.312960 | ||||||||
\(925\) | −14215.6 | − | 9825.05i | −0.505303 | − | 0.349239i | ||||
\(926\) | −4242.27 | −0.150550 | ||||||||
\(927\) | 38225.8 | − | 27772.7i | 1.35437 | − | 0.984007i | ||||
\(928\) | −1966.82 | + | 6053.24i | −0.0695732 | + | 0.214124i | ||||
\(929\) | 12387.8 | − | 38125.6i | 0.437491 | − | 1.34646i | −0.453022 | − | 0.891500i | \(-0.649654\pi\) |
0.890512 | − | 0.454959i | \(-0.150346\pi\) | |||||||
\(930\) | −1742.81 | − | 2340.30i | −0.0614507 | − | 0.0825178i | ||||
\(931\) | 447.186 | + | 1376.30i | 0.0157421 | + | 0.0484493i | ||||
\(932\) | −26073.4 | −0.916377 | ||||||||
\(933\) | −28036.0 | − | 86285.9i | −0.983770 | − | 3.02773i | ||||
\(934\) | −330.637 | − | 240.222i | −0.0115833 | − | 0.00841573i | ||||
\(935\) | 1220.17 | − | 1721.71i | 0.0426778 | − | 0.0602201i | ||||
\(936\) | 8074.96 | − | 5866.80i | 0.281985 | − | 0.204874i | ||||
\(937\) | 34755.5 | + | 25251.3i | 1.21175 | + | 0.880390i | 0.995389 | − | 0.0959227i | \(-0.0305802\pi\) |
0.216364 | + | 0.976313i | \(0.430580\pi\) | |||||||
\(938\) | −980.491 | − | 712.369i | −0.0341303 | − | 0.0247971i | ||||
\(939\) | −8141.57 | + | 5915.19i | −0.282950 | + | 0.205575i | ||||
\(940\) | −12086.7 | + | 17054.8i | −0.419388 | + | 0.591773i | ||||
\(941\) | 37686.0 | + | 27380.5i | 1.30556 | + | 0.948542i | 0.999993 | − | 0.00362993i | \(-0.00115545\pi\) |
0.305563 | + | 0.952172i | \(0.401155\pi\) | |||||||
\(942\) | 1454.20 | + | 4475.58i | 0.0502978 | + | 0.154801i | ||||
\(943\) | −22458.5 | −0.775555 | ||||||||
\(944\) | −5831.58 | − | 17947.8i | −0.201061 | − | 0.618803i | ||||
\(945\) | −29209.1 | − | 39222.9i | −1.00547 | − | 1.35018i | ||||
\(946\) | 115.368 | − | 355.068i | 0.00396507 | − | 0.0122032i | ||||
\(947\) | 1476.29 | − | 4543.55i | 0.0506578 | − | 0.155909i | −0.922527 | − | 0.385931i | \(-0.873880\pi\) |
0.973185 | + | 0.230023i | \(0.0738801\pi\) | |||||||
\(948\) | −28838.7 | + | 20952.5i | −0.988012 | + | 0.717833i | ||||
\(949\) | 4749.94 | 0.162476 | ||||||||
\(950\) | −89.0506 | − | 61.5470i | −0.00304125 | − | 0.00210195i | ||||
\(951\) | −86545.1 | −2.95102 | ||||||||
\(952\) | 5522.77 | − | 4012.53i | 0.188019 | − | 0.136604i | ||||
\(953\) | 13249.1 | − | 40776.5i | 0.450346 | − | 1.38602i | −0.426167 | − | 0.904644i | \(-0.640137\pi\) |
0.876513 | − | 0.481378i | \(-0.159863\pi\) | |||||||
\(954\) | −6.43860 | + | 19.8160i | −0.000218509 | + | 0.000672501i | ||||
\(955\) | −24239.3 | + | 34202.6i | −0.821324 | + | 1.15892i | ||||
\(956\) | −10853.5 | − | 33403.6i | −0.367183 | − | 1.13007i | ||||
\(957\) | −3758.73 | −0.126962 | ||||||||
\(958\) | 162.204 | + | 499.213i | 0.00547033 | + | 0.0168359i | ||||
\(959\) | 7171.53 | + | 5210.42i | 0.241481 | + | 0.175447i | ||||
\(960\) | 42002.2 | − | 14196.5i | 1.41210 | − | 0.477281i | ||||
\(961\) | 17155.2 | − | 12464.0i | 0.575852 | − | 0.418381i | ||||
\(962\) | 1587.18 | + | 1153.15i | 0.0531940 | + | 0.0386477i | ||||
\(963\) | 6401.14 | + | 4650.70i | 0.214199 | + | 0.155625i | ||||
\(964\) | 8571.66 | − | 6227.67i | 0.286384 | − | 0.208070i | ||||
\(965\) | 342.681 | + | 29089.8i | 0.0114314 | + | 0.970397i | ||||
\(966\) | 7724.62 | + | 5612.27i | 0.257283 | + | 0.186927i | ||||
\(967\) | −11678.3 | − | 35942.1i | −0.388365 | − | 1.19526i | −0.934010 | − | 0.357247i | \(-0.883715\pi\) |
0.545645 | − | 0.838016i | \(-0.316285\pi\) | |||||||
\(968\) | −6953.31 | −0.230876 | ||||||||
\(969\) | 290.558 | + | 894.246i | 0.00963269 | + | 0.0296464i | ||||
\(970\) | −4121.34 | + | 1392.99i | −0.136421 | + | 0.0461094i | ||||
\(971\) | 3451.54 | − | 10622.7i | 0.114073 | − | 0.351081i | −0.877679 | − | 0.479248i | \(-0.840909\pi\) |
0.991753 | + | 0.128167i | \(0.0409093\pi\) | |||||||
\(972\) | −8867.12 | + | 27290.2i | −0.292606 | + | 0.900549i | ||||
\(973\) | −51401.4 | + | 37345.3i | −1.69358 | + | 1.23046i | ||||
\(974\) | 3846.67 | 0.126546 | ||||||||
\(975\) | 35680.2 | − | 27230.1i | 1.17198 | − | 0.894422i | ||||
\(976\) | 30448.6 | 0.998602 | ||||||||
\(977\) | −23378.1 | + | 16985.2i | −0.765538 | + | 0.556196i | −0.900604 | − | 0.434641i | \(-0.856875\pi\) |
0.135066 | + | 0.990837i | \(0.456875\pi\) | |||||||
\(978\) | −643.470 | + | 1980.40i | −0.0210388 | + | 0.0647507i | ||||
\(979\) | 1600.58 | − | 4926.09i | 0.0522522 | − | 0.160816i | ||||
\(980\) | 46942.7 | + | 14643.6i | 1.53013 | + | 0.477318i | ||||
\(981\) | −8542.30 | − | 26290.5i | −0.278017 | − | 0.855648i | ||||
\(982\) | 1041.61 | 0.0338484 | ||||||||
\(983\) | 5997.79 | + | 18459.3i | 0.194608 | + | 0.598942i | 0.999981 | + | 0.00617373i | \(0.00196517\pi\) |
−0.805373 | + | 0.592769i | \(0.798035\pi\) | |||||||
\(984\) | 7197.97 | + | 5229.63i | 0.233194 | + | 0.169425i | ||||
\(985\) | −46279.3 | − | 14436.6i | −1.49704 | − | 0.466994i | ||||
\(986\) | −1172.52 | + | 851.883i | −0.0378707 | + | 0.0275147i | ||||
\(987\) | −48574.6 | − | 35291.5i | −1.56651 | − | 1.13814i | ||||
\(988\) | −704.584 | − | 511.910i | −0.0226880 | − | 0.0164838i | ||||
\(989\) | −23249.9 | + | 16892.0i | −0.747525 | + | 0.543109i | ||||
\(990\) | −433.796 | − | 582.514i | −0.0139262 | − | 0.0187005i | ||||
\(991\) | 25753.3 | + | 18710.9i | 0.825509 | + | 0.599768i | 0.918285 | − | 0.395919i | \(-0.129574\pi\) |
−0.0927758 | + | 0.995687i | \(0.529574\pi\) | |||||||
\(992\) | 1800.36 | + | 5540.94i | 0.0576225 | + | 0.177344i | ||||
\(993\) | 63872.3 | 2.04121 | ||||||||
\(994\) | −2754.26 | − | 8476.73i | −0.0878870 | − | 0.270489i | ||||
\(995\) | −559.462 | − | 47492.1i | −0.0178253 | − | 1.51317i | ||||
\(996\) | 25837.8 | − | 79520.5i | 0.821990 | − | 2.52982i | ||||
\(997\) | 12065.9 | − | 37135.0i | 0.383281 | − | 1.17962i | −0.554439 | − | 0.832225i | \(-0.687067\pi\) |
0.937720 | − | 0.347393i | \(-0.112933\pi\) | |||||||
\(998\) | −2797.38 | + | 2032.42i | −0.0887270 | + | 0.0644639i | ||||
\(999\) | 20150.4 | 0.638170 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 25.4.d.a.11.4 | ✓ | 28 | |
3.2 | odd | 2 | 225.4.h.b.136.4 | 28 | |||
5.2 | odd | 4 | 125.4.e.b.74.8 | 56 | |||
5.3 | odd | 4 | 125.4.e.b.74.7 | 56 | |||
5.4 | even | 2 | 125.4.d.a.51.4 | 28 | |||
25.4 | even | 10 | 625.4.a.d.1.7 | 14 | |||
25.9 | even | 10 | 125.4.d.a.76.4 | 28 | |||
25.12 | odd | 20 | 125.4.e.b.49.7 | 56 | |||
25.13 | odd | 20 | 125.4.e.b.49.8 | 56 | |||
25.16 | even | 5 | inner | 25.4.d.a.16.4 | yes | 28 | |
25.21 | even | 5 | 625.4.a.c.1.8 | 14 | |||
75.41 | odd | 10 | 225.4.h.b.91.4 | 28 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
25.4.d.a.11.4 | ✓ | 28 | 1.1 | even | 1 | trivial | |
25.4.d.a.16.4 | yes | 28 | 25.16 | even | 5 | inner | |
125.4.d.a.51.4 | 28 | 5.4 | even | 2 | |||
125.4.d.a.76.4 | 28 | 25.9 | even | 10 | |||
125.4.e.b.49.7 | 56 | 25.12 | odd | 20 | |||
125.4.e.b.49.8 | 56 | 25.13 | odd | 20 | |||
125.4.e.b.74.7 | 56 | 5.3 | odd | 4 | |||
125.4.e.b.74.8 | 56 | 5.2 | odd | 4 | |||
225.4.h.b.91.4 | 28 | 75.41 | odd | 10 | |||
225.4.h.b.136.4 | 28 | 3.2 | odd | 2 | |||
625.4.a.c.1.8 | 14 | 25.21 | even | 5 | |||
625.4.a.d.1.7 | 14 | 25.4 | even | 10 |